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Finding the Third Proportional to 6,645.90 and 9,658.89

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Solution

The third proportional to 6,645.90 and 9,658.89 is: 14,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.90 : 9,658.89 = 9,658.89 : x
  2. Step 2: Convert to fraction form
    6,645.90/9,658.89 = 9,658.89/x
  3. Step 3: Cross multiply
    6,645.90x = 9,658.89 × 9,658.89
  4. Step 4: Simplify right side
    6,645.90x = 93,294,234.13
  5. Step 5: Solve for x
    x = 93,294,234.13/6,645.90
  6. Step 6: Final answer
    x = 14,037.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.