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Finding the Third Proportional to 8,724.38 and 16,237.13

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Solution

The third proportional to 8,724.38 and 16,237.13 is: 30,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.38 : 16,237.13 = 16,237.13 : x
  2. Step 2: Convert to fraction form
    8,724.38/16,237.13 = 16,237.13/x
  3. Step 3: Cross multiply
    8,724.38x = 16,237.13 × 16,237.13
  4. Step 4: Simplify right side
    8,724.38x = 263,644,228.27
  5. Step 5: Solve for x
    x = 263,644,228.27/8,724.38
  6. Step 6: Final answer
    x = 30,219.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.