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Finding the Third Proportional to 5,182 and 5,758

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Solution

The third proportional to 5,182 and 5,758 is: 6,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182 : 5,758 = 5,758 : x
  2. Step 2: Convert to fraction form
    5,182/5,758 = 5,758/x
  3. Step 3: Cross multiply
    5,182x = 5,758 × 5,758
  4. Step 4: Simplify right side
    5,182x = 33,154,564
  5. Step 5: Solve for x
    x = 33,154,564/5,182
  6. Step 6: Final answer
    x = 6,398.02

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.