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Finding the Third Proportional to 38,872.88 and 61,884.75

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Solution

The third proportional to 38,872.88 and 61,884.75 is: 98,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.88 : 61,884.75 = 61,884.75 : x
  2. Step 2: Convert to fraction form
    38,872.88/61,884.75 = 61,884.75/x
  3. Step 3: Cross multiply
    38,872.88x = 61,884.75 × 61,884.75
  4. Step 4: Simplify right side
    38,872.88x = 3,829,722,282.56
  5. Step 5: Solve for x
    x = 3,829,722,282.56/38,872.88
  6. Step 6: Final answer
    x = 98,519.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.