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Finding the Third Proportional to 38,482 and 59,110

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Solution

The third proportional to 38,482 and 59,110 is: 90,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482 : 59,110 = 59,110 : x
  2. Step 2: Convert to fraction form
    38,482/59,110 = 59,110/x
  3. Step 3: Cross multiply
    38,482x = 59,110 × 59,110
  4. Step 4: Simplify right side
    38,482x = 3,493,992,100
  5. Step 5: Solve for x
    x = 3,493,992,100/38,482
  6. Step 6: Final answer
    x = 90,795.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.