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Finding the Third Proportional to 7,536 and 8,616

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Solution

The third proportional to 7,536 and 8,616 is: 9,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 8,616 = 8,616 : x
  2. Step 2: Convert to fraction form
    7,536/8,616 = 8,616/x
  3. Step 3: Cross multiply
    7,536x = 8,616 × 8,616
  4. Step 4: Simplify right side
    7,536x = 74,235,456
  5. Step 5: Solve for x
    x = 74,235,456/7,536
  6. Step 6: Final answer
    x = 9,850.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.