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Finding the Third Proportional to 14,917.92 and 31,882.36

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Solution

The third proportional to 14,917.92 and 31,882.36 is: 68,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.92 : 31,882.36 = 31,882.36 : x
  2. Step 2: Convert to fraction form
    14,917.92/31,882.36 = 31,882.36/x
  3. Step 3: Cross multiply
    14,917.92x = 31,882.36 × 31,882.36
  4. Step 4: Simplify right side
    14,917.92x = 1,016,484,839.32
  5. Step 5: Solve for x
    x = 1,016,484,839.32/14,917.92
  6. Step 6: Final answer
    x = 68,138.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.