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Finding the Third Proportional to 5,566.85 and 8,167.71

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Solution

The third proportional to 5,566.85 and 8,167.71 is: 11,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.85 : 8,167.71 = 8,167.71 : x
  2. Step 2: Convert to fraction form
    5,566.85/8,167.71 = 8,167.71/x
  3. Step 3: Cross multiply
    5,566.85x = 8,167.71 × 8,167.71
  4. Step 4: Simplify right side
    5,566.85x = 66,711,501.96
  5. Step 5: Solve for x
    x = 66,711,501.96/5,566.85
  6. Step 6: Final answer
    x = 11,983.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.