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Finding the Third Proportional to 38,334.50 and 89,542

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Solution

The third proportional to 38,334.50 and 89,542 is: 209,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334.50 : 89,542 = 89,542 : x
  2. Step 2: Convert to fraction form
    38,334.50/89,542 = 89,542/x
  3. Step 3: Cross multiply
    38,334.50x = 89,542 × 89,542
  4. Step 4: Simplify right side
    38,334.50x = 8,017,769,764
  5. Step 5: Solve for x
    x = 8,017,769,764/38,334.50
  6. Step 6: Final answer
    x = 209,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.