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Finding the Third Proportional to 38,891 and 75,905

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Solution

The third proportional to 38,891 and 75,905 is: 148,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,891 : 75,905 = 75,905 : x
  2. Step 2: Convert to fraction form
    38,891/75,905 = 75,905/x
  3. Step 3: Cross multiply
    38,891x = 75,905 × 75,905
  4. Step 4: Simplify right side
    38,891x = 5,761,569,025
  5. Step 5: Solve for x
    x = 5,761,569,025/38,891
  6. Step 6: Final answer
    x = 148,146.59

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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.