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Finding the Third Proportional to 44,267 and 66,569

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Solution

The third proportional to 44,267 and 66,569 is: 100,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,267 : 66,569 = 66,569 : x
  2. Step 2: Convert to fraction form
    44,267/66,569 = 66,569/x
  3. Step 3: Cross multiply
    44,267x = 66,569 × 66,569
  4. Step 4: Simplify right side
    44,267x = 4,431,431,761
  5. Step 5: Solve for x
    x = 4,431,431,761/44,267
  6. Step 6: Final answer
    x = 100,106.89

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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.