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Finding the Third Proportional to 32,377.50 and 68,616

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Solution

The third proportional to 32,377.50 and 68,616 is: 145,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.50 : 68,616 = 68,616 : x
  2. Step 2: Convert to fraction form
    32,377.50/68,616 = 68,616/x
  3. Step 3: Cross multiply
    32,377.50x = 68,616 × 68,616
  4. Step 4: Simplify right side
    32,377.50x = 4,708,155,456
  5. Step 5: Solve for x
    x = 4,708,155,456/32,377.50
  6. Step 6: Final answer
    x = 145,414.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.