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Finding the Third Proportional to 14,947.31 and 31,717.13

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Solution

The third proportional to 14,947.31 and 31,717.13 is: 67,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.31 : 31,717.13 = 31,717.13 : x
  2. Step 2: Convert to fraction form
    14,947.31/31,717.13 = 31,717.13/x
  3. Step 3: Cross multiply
    14,947.31x = 31,717.13 × 31,717.13
  4. Step 4: Simplify right side
    14,947.31x = 1,005,976,018.27
  5. Step 5: Solve for x
    x = 1,005,976,018.27/14,947.31
  6. Step 6: Final answer
    x = 67,301.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.