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Finding the Third Proportional to 3,830 and 5,579

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Solution

The third proportional to 3,830 and 5,579 is: 8,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,579 = 5,579 : x
  2. Step 2: Convert to fraction form
    3,830/5,579 = 5,579/x
  3. Step 3: Cross multiply
    3,830x = 5,579 × 5,579
  4. Step 4: Simplify right side
    3,830x = 31,125,241
  5. Step 5: Solve for x
    x = 31,125,241/3,830
  6. Step 6: Final answer
    x = 8,126.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.