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Finding the Third Proportional to 6,229.41 and 9,532.69

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Solution

The third proportional to 6,229.41 and 9,532.69 is: 14,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.41 : 9,532.69 = 9,532.69 : x
  2. Step 2: Convert to fraction form
    6,229.41/9,532.69 = 9,532.69/x
  3. Step 3: Cross multiply
    6,229.41x = 9,532.69 × 9,532.69
  4. Step 4: Simplify right side
    6,229.41x = 90,872,130.97
  5. Step 5: Solve for x
    x = 90,872,130.97/6,229.41
  6. Step 6: Final answer
    x = 14,587.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.