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Finding the Third Proportional to 8,417 and 9,605

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Solution

The third proportional to 8,417 and 9,605 is: 10,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 9,605 = 9,605 : x
  2. Step 2: Convert to fraction form
    8,417/9,605 = 9,605/x
  3. Step 3: Cross multiply
    8,417x = 9,605 × 9,605
  4. Step 4: Simplify right side
    8,417x = 92,256,025
  5. Step 5: Solve for x
    x = 92,256,025/8,417
  6. Step 6: Final answer
    x = 10,960.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.