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Finding the Third Proportional to 31,564.13 and 69,067.13

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Solution

The third proportional to 31,564.13 and 69,067.13 is: 151,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.13 : 69,067.13 = 69,067.13 : x
  2. Step 2: Convert to fraction form
    31,564.13/69,067.13 = 69,067.13/x
  3. Step 3: Cross multiply
    31,564.13x = 69,067.13 × 69,067.13
  4. Step 4: Simplify right side
    31,564.13x = 4,770,267,755.77
  5. Step 5: Solve for x
    x = 4,770,267,755.77/31,564.13
  6. Step 6: Final answer
    x = 151,129.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.