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Finding the Third Proportional to 41,946 and 61,189

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Solution

The third proportional to 41,946 and 61,189 is: 89,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946 : 61,189 = 61,189 : x
  2. Step 2: Convert to fraction form
    41,946/61,189 = 61,189/x
  3. Step 3: Cross multiply
    41,946x = 61,189 × 61,189
  4. Step 4: Simplify right side
    41,946x = 3,744,093,721
  5. Step 5: Solve for x
    x = 3,744,093,721/41,946
  6. Step 6: Final answer
    x = 89,259.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.