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Finding the Third Proportional to 22,304 and 35,879

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Solution

The third proportional to 22,304 and 35,879 is: 57,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304 : 35,879 = 35,879 : x
  2. Step 2: Convert to fraction form
    22,304/35,879 = 35,879/x
  3. Step 3: Cross multiply
    22,304x = 35,879 × 35,879
  4. Step 4: Simplify right side
    22,304x = 1,287,302,641
  5. Step 5: Solve for x
    x = 1,287,302,641/22,304
  6. Step 6: Final answer
    x = 57,716.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.