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Finding the Third Proportional to 14,425.13 and 21,637.69

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Solution

The third proportional to 14,425.13 and 21,637.69 is: 32,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.13 : 21,637.69 = 21,637.69 : x
  2. Step 2: Convert to fraction form
    14,425.13/21,637.69 = 21,637.69/x
  3. Step 3: Cross multiply
    14,425.13x = 21,637.69 × 21,637.69
  4. Step 4: Simplify right side
    14,425.13x = 468,189,520.35
  5. Step 5: Solve for x
    x = 468,189,520.35/14,425.13
  6. Step 6: Final answer
    x = 32,456.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.