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Finding the Third Proportional to 12,739.78 and 17,002.41

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Solution

The third proportional to 12,739.78 and 17,002.41 is: 22,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.78 : 17,002.41 = 17,002.41 : x
  2. Step 2: Convert to fraction form
    12,739.78/17,002.41 = 17,002.41/x
  3. Step 3: Cross multiply
    12,739.78x = 17,002.41 × 17,002.41
  4. Step 4: Simplify right side
    12,739.78x = 289,081,818.29
  5. Step 5: Solve for x
    x = 289,081,818.29/12,739.78
  6. Step 6: Final answer
    x = 22,691.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.