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Finding the Third Proportional to 5,424.47 and 9,652.92

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Solution

The third proportional to 5,424.47 and 9,652.92 is: 17,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.47 : 9,652.92 = 9,652.92 : x
  2. Step 2: Convert to fraction form
    5,424.47/9,652.92 = 9,652.92/x
  3. Step 3: Cross multiply
    5,424.47x = 9,652.92 × 9,652.92
  4. Step 4: Simplify right side
    5,424.47x = 93,178,900.72
  5. Step 5: Solve for x
    x = 93,178,900.72/5,424.47
  6. Step 6: Final answer
    x = 17,177.52

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.