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Finding the Third Proportional to 41,046 and 61,569

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Solution

The third proportional to 41,046 and 61,569 is: 92,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046 : 61,569 = 61,569 : x
  2. Step 2: Convert to fraction form
    41,046/61,569 = 61,569/x
  3. Step 3: Cross multiply
    41,046x = 61,569 × 61,569
  4. Step 4: Simplify right side
    41,046x = 3,790,741,761
  5. Step 5: Solve for x
    x = 3,790,741,761/41,046
  6. Step 6: Final answer
    x = 92,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.