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Finding the Third Proportional to 38,518.88 and 57,519

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Solution

The third proportional to 38,518.88 and 57,519 is: 85,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,518.88 : 57,519 = 57,519 : x
  2. Step 2: Convert to fraction form
    38,518.88/57,519 = 57,519/x
  3. Step 3: Cross multiply
    38,518.88x = 57,519 × 57,519
  4. Step 4: Simplify right side
    38,518.88x = 3,308,435,361
  5. Step 5: Solve for x
    x = 3,308,435,361/38,518.88
  6. Step 6: Final answer
    x = 85,891.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.