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Finding the Third Proportional to 38,916 and 75,887

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Solution

The third proportional to 38,916 and 75,887 is: 147,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,916 : 75,887 = 75,887 : x
  2. Step 2: Convert to fraction form
    38,916/75,887 = 75,887/x
  3. Step 3: Cross multiply
    38,916x = 75,887 × 75,887
  4. Step 4: Simplify right side
    38,916x = 5,758,836,769
  5. Step 5: Solve for x
    x = 5,758,836,769/38,916
  6. Step 6: Final answer
    x = 147,981.21

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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.