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Finding the Third Proportional to 12,743.58 and 21,061.27

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Solution

The third proportional to 12,743.58 and 21,061.27 is: 34,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.58 : 21,061.27 = 21,061.27 : x
  2. Step 2: Convert to fraction form
    12,743.58/21,061.27 = 21,061.27/x
  3. Step 3: Cross multiply
    12,743.58x = 21,061.27 × 21,061.27
  4. Step 4: Simplify right side
    12,743.58x = 443,576,909.73
  5. Step 5: Solve for x
    x = 443,576,909.73/12,743.58
  6. Step 6: Final answer
    x = 34,807.88

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.