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Finding the Third Proportional to 5,870 and 8,049

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Solution

The third proportional to 5,870 and 8,049 is: 11,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870 : 8,049 = 8,049 : x
  2. Step 2: Convert to fraction form
    5,870/8,049 = 8,049/x
  3. Step 3: Cross multiply
    5,870x = 8,049 × 8,049
  4. Step 4: Simplify right side
    5,870x = 64,786,401
  5. Step 5: Solve for x
    x = 64,786,401/5,870
  6. Step 6: Final answer
    x = 11,036.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.