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Finding the Third Proportional to 44,589 and 69,264

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Solution

The third proportional to 44,589 and 69,264 is: 107,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,589 : 69,264 = 69,264 : x
  2. Step 2: Convert to fraction form
    44,589/69,264 = 69,264/x
  3. Step 3: Cross multiply
    44,589x = 69,264 × 69,264
  4. Step 4: Simplify right side
    44,589x = 4,797,501,696
  5. Step 5: Solve for x
    x = 4,797,501,696/44,589
  6. Step 6: Final answer
    x = 107,593.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.