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Finding the Third Proportional to 14,562.91 and 31,426.73

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Solution

The third proportional to 14,562.91 and 31,426.73 is: 67,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.91 : 31,426.73 = 31,426.73 : x
  2. Step 2: Convert to fraction form
    14,562.91/31,426.73 = 31,426.73/x
  3. Step 3: Cross multiply
    14,562.91x = 31,426.73 × 31,426.73
  4. Step 4: Simplify right side
    14,562.91x = 987,639,633.48
  5. Step 5: Solve for x
    x = 987,639,633.48/14,562.91
  6. Step 6: Final answer
    x = 67,818.82

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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.