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Finding the Third Proportional to 6,269.91 and 8,154.42

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Solution

The third proportional to 6,269.91 and 8,154.42 is: 10,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.91 : 8,154.42 = 8,154.42 : x
  2. Step 2: Convert to fraction form
    6,269.91/8,154.42 = 8,154.42/x
  3. Step 3: Cross multiply
    6,269.91x = 8,154.42 × 8,154.42
  4. Step 4: Simplify right side
    6,269.91x = 66,494,596.12
  5. Step 5: Solve for x
    x = 66,494,596.12/6,269.91
  6. Step 6: Final answer
    x = 10,605.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.