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Finding the Third Proportional to 38,914 and 75,883

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Solution

The third proportional to 38,914 and 75,883 is: 147,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,914 : 75,883 = 75,883 : x
  2. Step 2: Convert to fraction form
    38,914/75,883 = 75,883/x
  3. Step 3: Cross multiply
    38,914x = 75,883 × 75,883
  4. Step 4: Simplify right side
    38,914x = 5,758,229,689
  5. Step 5: Solve for x
    x = 5,758,229,689/38,914
  6. Step 6: Final answer
    x = 147,973.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.