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Finding the Third Proportional to 14,686.31 and 31,711.50

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Solution

The third proportional to 14,686.31 and 31,711.50 is: 68,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.31 : 31,711.50 = 31,711.50 : x
  2. Step 2: Convert to fraction form
    14,686.31/31,711.50 = 31,711.50/x
  3. Step 3: Cross multiply
    14,686.31x = 31,711.50 × 31,711.50
  4. Step 4: Simplify right side
    14,686.31x = 1,005,619,232.25
  5. Step 5: Solve for x
    x = 1,005,619,232.25/14,686.31
  6. Step 6: Final answer
    x = 68,473.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.