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Finding the Third Proportional to 44,869 and 67,412

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Solution

The third proportional to 44,869 and 67,412 is: 101,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,869 : 67,412 = 67,412 : x
  2. Step 2: Convert to fraction form
    44,869/67,412 = 67,412/x
  3. Step 3: Cross multiply
    44,869x = 67,412 × 67,412
  4. Step 4: Simplify right side
    44,869x = 4,544,377,744
  5. Step 5: Solve for x
    x = 4,544,377,744/44,869
  6. Step 6: Final answer
    x = 101,281.01

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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.