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Finding the Third Proportional to 41,884 and 64,769

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Solution

The third proportional to 41,884 and 64,769 is: 100,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 64,769 = 64,769 : x
  2. Step 2: Convert to fraction form
    41,884/64,769 = 64,769/x
  3. Step 3: Cross multiply
    41,884x = 64,769 × 64,769
  4. Step 4: Simplify right side
    41,884x = 4,195,023,361
  5. Step 5: Solve for x
    x = 4,195,023,361/41,884
  6. Step 6: Final answer
    x = 100,158.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.