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Finding the Third Proportional to 6,310.38 and 9,769.88

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Solution

The third proportional to 6,310.38 and 9,769.88 is: 15,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.38 : 9,769.88 = 9,769.88 : x
  2. Step 2: Convert to fraction form
    6,310.38/9,769.88 = 9,769.88/x
  3. Step 3: Cross multiply
    6,310.38x = 9,769.88 × 9,769.88
  4. Step 4: Simplify right side
    6,310.38x = 95,450,457.52
  5. Step 5: Solve for x
    x = 95,450,457.52/6,310.38
  6. Step 6: Final answer
    x = 15,125.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.