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Finding the Third Proportional to 8,356 and 9,092

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Solution

The third proportional to 8,356 and 9,092 is: 9,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356 : 9,092 = 9,092 : x
  2. Step 2: Convert to fraction form
    8,356/9,092 = 9,092/x
  3. Step 3: Cross multiply
    8,356x = 9,092 × 9,092
  4. Step 4: Simplify right side
    8,356x = 82,664,464
  5. Step 5: Solve for x
    x = 82,664,464/8,356
  6. Step 6: Final answer
    x = 9,892.83

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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.