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Finding the Third Proportional to 38,940 and 59,179.50

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Solution

The third proportional to 38,940 and 59,179.50 is: 89,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940 : 59,179.50 = 59,179.50 : x
  2. Step 2: Convert to fraction form
    38,940/59,179.50 = 59,179.50/x
  3. Step 3: Cross multiply
    38,940x = 59,179.50 × 59,179.50
  4. Step 4: Simplify right side
    38,940x = 3,502,213,220.25
  5. Step 5: Solve for x
    x = 3,502,213,220.25/38,940
  6. Step 6: Final answer
    x = 89,938.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.