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Finding the Third Proportional to 38,880 and 57,499.88

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Solution

The third proportional to 38,880 and 57,499.88 is: 85,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 57,499.88 = 57,499.88 : x
  2. Step 2: Convert to fraction form
    38,880/57,499.88 = 57,499.88/x
  3. Step 3: Cross multiply
    38,880x = 57,499.88 × 57,499.88
  4. Step 4: Simplify right side
    38,880x = 3,306,235,625.02
  5. Step 5: Solve for x
    x = 3,306,235,625.02/38,880
  6. Step 6: Final answer
    x = 85,036.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.