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Finding the Third Proportional to 7,583 and 9,849

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Solution

The third proportional to 7,583 and 9,849 is: 12,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583 : 9,849 = 9,849 : x
  2. Step 2: Convert to fraction form
    7,583/9,849 = 9,849/x
  3. Step 3: Cross multiply
    7,583x = 9,849 × 9,849
  4. Step 4: Simplify right side
    7,583x = 97,002,801
  5. Step 5: Solve for x
    x = 97,002,801/7,583
  6. Step 6: Final answer
    x = 12,792.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.