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Finding the Third Proportional to 8,600 and 9,496

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Solution

The third proportional to 8,600 and 9,496 is: 10,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600 : 9,496 = 9,496 : x
  2. Step 2: Convert to fraction form
    8,600/9,496 = 9,496/x
  3. Step 3: Cross multiply
    8,600x = 9,496 × 9,496
  4. Step 4: Simplify right side
    8,600x = 90,174,016
  5. Step 5: Solve for x
    x = 90,174,016/8,600
  6. Step 6: Final answer
    x = 10,485.35

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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.