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Finding the Third Proportional to 8,662.57 and 9,511.17

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Solution

The third proportional to 8,662.57 and 9,511.17 is: 10,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.57 : 9,511.17 = 9,511.17 : x
  2. Step 2: Convert to fraction form
    8,662.57/9,511.17 = 9,511.17/x
  3. Step 3: Cross multiply
    8,662.57x = 9,511.17 × 9,511.17
  4. Step 4: Simplify right side
    8,662.57x = 90,462,390.44
  5. Step 5: Solve for x
    x = 90,462,390.44/8,662.57
  6. Step 6: Final answer
    x = 10,442.90

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.