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Finding the Third Proportional to 38,601 and 57,994.31

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Solution

The third proportional to 38,601 and 57,994.31 is: 87,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601 : 57,994.31 = 57,994.31 : x
  2. Step 2: Convert to fraction form
    38,601/57,994.31 = 57,994.31/x
  3. Step 3: Cross multiply
    38,601x = 57,994.31 × 57,994.31
  4. Step 4: Simplify right side
    38,601x = 3,363,340,282.35
  5. Step 5: Solve for x
    x = 3,363,340,282.35/38,601
  6. Step 6: Final answer
    x = 87,130.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.