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Finding the Third Proportional to 31,825.13 and 66,264.75

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Solution

The third proportional to 31,825.13 and 66,264.75 is: 137,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.13 : 66,264.75 = 66,264.75 : x
  2. Step 2: Convert to fraction form
    31,825.13/66,264.75 = 66,264.75/x
  3. Step 3: Cross multiply
    31,825.13x = 66,264.75 × 66,264.75
  4. Step 4: Simplify right side
    31,825.13x = 4,391,017,092.56
  5. Step 5: Solve for x
    x = 4,391,017,092.56/31,825.13
  6. Step 6: Final answer
    x = 137,973.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.