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Finding the Third Proportional to 38,907 and 75,870

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Solution

The third proportional to 38,907 and 75,870 is: 147,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 75,870 = 75,870 : x
  2. Step 2: Convert to fraction form
    38,907/75,870 = 75,870/x
  3. Step 3: Cross multiply
    38,907x = 75,870 × 75,870
  4. Step 4: Simplify right side
    38,907x = 5,756,256,900
  5. Step 5: Solve for x
    x = 5,756,256,900/38,907
  6. Step 6: Final answer
    x = 147,949.13

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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.