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Finding the Third Proportional to 10,693.50 and 25,761.50

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Solution

The third proportional to 10,693.50 and 25,761.50 is: 62,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.50 : 25,761.50 = 25,761.50 : x
  2. Step 2: Convert to fraction form
    10,693.50/25,761.50 = 25,761.50/x
  3. Step 3: Cross multiply
    10,693.50x = 25,761.50 × 25,761.50
  4. Step 4: Simplify right side
    10,693.50x = 663,654,882.25
  5. Step 5: Solve for x
    x = 663,654,882.25/10,693.50
  6. Step 6: Final answer
    x = 62,061.52

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.