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Finding the Third Proportional to 44,406 and 67,068

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Solution

The third proportional to 44,406 and 67,068 is: 101,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,406 : 67,068 = 67,068 : x
  2. Step 2: Convert to fraction form
    44,406/67,068 = 67,068/x
  3. Step 3: Cross multiply
    44,406x = 67,068 × 67,068
  4. Step 4: Simplify right side
    44,406x = 4,498,116,624
  5. Step 5: Solve for x
    x = 4,498,116,624/44,406
  6. Step 6: Final answer
    x = 101,295.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.