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Finding the Third Proportional to 14,487.61 and 31,743.14

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Solution

The third proportional to 14,487.61 and 31,743.14 is: 69,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.61 : 31,743.14 = 31,743.14 : x
  2. Step 2: Convert to fraction form
    14,487.61/31,743.14 = 31,743.14/x
  3. Step 3: Cross multiply
    14,487.61x = 31,743.14 × 31,743.14
  4. Step 4: Simplify right side
    14,487.61x = 1,007,626,976.74
  5. Step 5: Solve for x
    x = 1,007,626,976.74/14,487.61
  6. Step 6: Final answer
    x = 69,550.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.