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Finding the Third Proportional to 13,562.44 and 31,381.17

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Solution

The third proportional to 13,562.44 and 31,381.17 is: 72,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.44 : 31,381.17 = 31,381.17 : x
  2. Step 2: Convert to fraction form
    13,562.44/31,381.17 = 31,381.17/x
  3. Step 3: Cross multiply
    13,562.44x = 31,381.17 × 31,381.17
  4. Step 4: Simplify right side
    13,562.44x = 984,777,948.25
  5. Step 5: Solve for x
    x = 984,777,948.25/13,562.44
  6. Step 6: Final answer
    x = 72,610.69

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.