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Finding the Third Proportional to 8,566 and 9,110

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Solution

The third proportional to 8,566 and 9,110 is: 9,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 9,110 = 9,110 : x
  2. Step 2: Convert to fraction form
    8,566/9,110 = 9,110/x
  3. Step 3: Cross multiply
    8,566x = 9,110 × 9,110
  4. Step 4: Simplify right side
    8,566x = 82,992,100
  5. Step 5: Solve for x
    x = 82,992,100/8,566
  6. Step 6: Final answer
    x = 9,688.55

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.