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Finding the Third Proportional to 4,766.98 and 9,764.61

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Solution

The third proportional to 4,766.98 and 9,764.61 is: 20,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.98 : 9,764.61 = 9,764.61 : x
  2. Step 2: Convert to fraction form
    4,766.98/9,764.61 = 9,764.61/x
  3. Step 3: Cross multiply
    4,766.98x = 9,764.61 × 9,764.61
  4. Step 4: Simplify right side
    4,766.98x = 95,347,672.53
  5. Step 5: Solve for x
    x = 95,347,672.53/4,766.98
  6. Step 6: Final answer
    x = 20,001.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.