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Finding the Third Proportional to 38,718 and 57,923

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Solution

The third proportional to 38,718 and 57,923 is: 86,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718 : 57,923 = 57,923 : x
  2. Step 2: Convert to fraction form
    38,718/57,923 = 57,923/x
  3. Step 3: Cross multiply
    38,718x = 57,923 × 57,923
  4. Step 4: Simplify right side
    38,718x = 3,355,073,929
  5. Step 5: Solve for x
    x = 3,355,073,929/38,718
  6. Step 6: Final answer
    x = 86,654.11

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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.