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Finding the Third Proportional to 3,597 and 5,868

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Solution

The third proportional to 3,597 and 5,868 is: 9,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597 : 5,868 = 5,868 : x
  2. Step 2: Convert to fraction form
    3,597/5,868 = 5,868/x
  3. Step 3: Cross multiply
    3,597x = 5,868 × 5,868
  4. Step 4: Simplify right side
    3,597x = 34,433,424
  5. Step 5: Solve for x
    x = 34,433,424/3,597
  6. Step 6: Final answer
    x = 9,572.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.