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Finding the Third Proportional to 38,176.75 and 58,252.31

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Solution

The third proportional to 38,176.75 and 58,252.31 is: 88,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.75 : 58,252.31 = 58,252.31 : x
  2. Step 2: Convert to fraction form
    38,176.75/58,252.31 = 58,252.31/x
  3. Step 3: Cross multiply
    38,176.75x = 58,252.31 × 58,252.31
  4. Step 4: Simplify right side
    38,176.75x = 3,393,331,911.60
  5. Step 5: Solve for x
    x = 3,393,331,911.60/38,176.75
  6. Step 6: Final answer
    x = 88,884.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.