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Finding the Third Proportional to 41,406 and 64,569

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Solution

The third proportional to 41,406 and 64,569 is: 100,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406 : 64,569 = 64,569 : x
  2. Step 2: Convert to fraction form
    41,406/64,569 = 64,569/x
  3. Step 3: Cross multiply
    41,406x = 64,569 × 64,569
  4. Step 4: Simplify right side
    41,406x = 4,169,155,761
  5. Step 5: Solve for x
    x = 4,169,155,761/41,406
  6. Step 6: Final answer
    x = 100,689.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.