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Finding the Third Proportional to 38,014 and 54,758

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Solution

The third proportional to 38,014 and 54,758 is: 78,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014 : 54,758 = 54,758 : x
  2. Step 2: Convert to fraction form
    38,014/54,758 = 54,758/x
  3. Step 3: Cross multiply
    38,014x = 54,758 × 54,758
  4. Step 4: Simplify right side
    38,014x = 2,998,438,564
  5. Step 5: Solve for x
    x = 2,998,438,564/38,014
  6. Step 6: Final answer
    x = 78,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.