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Finding the Third Proportional to 38,821 and 58,427

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Solution

The third proportional to 38,821 and 58,427 is: 87,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821 : 58,427 = 58,427 : x
  2. Step 2: Convert to fraction form
    38,821/58,427 = 58,427/x
  3. Step 3: Cross multiply
    38,821x = 58,427 × 58,427
  4. Step 4: Simplify right side
    38,821x = 3,413,714,329
  5. Step 5: Solve for x
    x = 3,413,714,329/38,821
  6. Step 6: Final answer
    x = 87,934.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.