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Finding the Third Proportional to 8,537 and 9,347

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Solution

The third proportional to 8,537 and 9,347 is: 10,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537 : 9,347 = 9,347 : x
  2. Step 2: Convert to fraction form
    8,537/9,347 = 9,347/x
  3. Step 3: Cross multiply
    8,537x = 9,347 × 9,347
  4. Step 4: Simplify right side
    8,537x = 87,366,409
  5. Step 5: Solve for x
    x = 87,366,409/8,537
  6. Step 6: Final answer
    x = 10,233.85

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.