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Finding the Third Proportional to 5,601 and 7,579

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Solution

The third proportional to 5,601 and 7,579 is: 10,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 7,579 = 7,579 : x
  2. Step 2: Convert to fraction form
    5,601/7,579 = 7,579/x
  3. Step 3: Cross multiply
    5,601x = 7,579 × 7,579
  4. Step 4: Simplify right side
    5,601x = 57,441,241
  5. Step 5: Solve for x
    x = 57,441,241/5,601
  6. Step 6: Final answer
    x = 10,255.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.