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Finding the Third Proportional to 38,127 and 57,838

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Solution

The third proportional to 38,127 and 57,838 is: 87,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,127 : 57,838 = 57,838 : x
  2. Step 2: Convert to fraction form
    38,127/57,838 = 57,838/x
  3. Step 3: Cross multiply
    38,127x = 57,838 × 57,838
  4. Step 4: Simplify right side
    38,127x = 3,345,234,244
  5. Step 5: Solve for x
    x = 3,345,234,244/38,127
  6. Step 6: Final answer
    x = 87,739.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.