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Finding the Third Proportional to 31,823.13 and 69,999.75

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Solution

The third proportional to 31,823.13 and 69,999.75 is: 153,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.13 : 69,999.75 = 69,999.75 : x
  2. Step 2: Convert to fraction form
    31,823.13/69,999.75 = 69,999.75/x
  3. Step 3: Cross multiply
    31,823.13x = 69,999.75 × 69,999.75
  4. Step 4: Simplify right side
    31,823.13x = 4,899,965,000.06
  5. Step 5: Solve for x
    x = 4,899,965,000.06/31,823.13
  6. Step 6: Final answer
    x = 153,974.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.