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Finding the Third Proportional to 14,239.13 and 20,509.88

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Solution

The third proportional to 14,239.13 and 20,509.88 is: 29,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.13 : 20,509.88 = 20,509.88 : x
  2. Step 2: Convert to fraction form
    14,239.13/20,509.88 = 20,509.88/x
  3. Step 3: Cross multiply
    14,239.13x = 20,509.88 × 20,509.88
  4. Step 4: Simplify right side
    14,239.13x = 420,654,972.52
  5. Step 5: Solve for x
    x = 420,654,972.52/14,239.13
  6. Step 6: Final answer
    x = 29,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.