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Finding the Third Proportional to 8,565 and 9,699

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Solution

The third proportional to 8,565 and 9,699 is: 10,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565 : 9,699 = 9,699 : x
  2. Step 2: Convert to fraction form
    8,565/9,699 = 9,699/x
  3. Step 3: Cross multiply
    8,565x = 9,699 × 9,699
  4. Step 4: Simplify right side
    8,565x = 94,070,601
  5. Step 5: Solve for x
    x = 94,070,601/8,565
  6. Step 6: Final answer
    x = 10,983.14

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.