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Finding the Third Proportional to 44,816 and 67,587

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Solution

The third proportional to 44,816 and 67,587 is: 101,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,816 : 67,587 = 67,587 : x
  2. Step 2: Convert to fraction form
    44,816/67,587 = 67,587/x
  3. Step 3: Cross multiply
    44,816x = 67,587 × 67,587
  4. Step 4: Simplify right side
    44,816x = 4,568,002,569
  5. Step 5: Solve for x
    x = 4,568,002,569/44,816
  6. Step 6: Final answer
    x = 101,927.94

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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.