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Finding the Third Proportional to 8,564 and 11,558

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Solution

The third proportional to 8,564 and 11,558 is: 15,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 11,558 = 11,558 : x
  2. Step 2: Convert to fraction form
    8,564/11,558 = 11,558/x
  3. Step 3: Cross multiply
    8,564x = 11,558 × 11,558
  4. Step 4: Simplify right side
    8,564x = 133,587,364
  5. Step 5: Solve for x
    x = 133,587,364/8,564
  6. Step 6: Final answer
    x = 15,598.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.