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Finding the Third Proportional to 5,192 and 5,780

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Solution

The third proportional to 5,192 and 5,780 is: 6,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 5,780 = 5,780 : x
  2. Step 2: Convert to fraction form
    5,192/5,780 = 5,780/x
  3. Step 3: Cross multiply
    5,192x = 5,780 × 5,780
  4. Step 4: Simplify right side
    5,192x = 33,408,400
  5. Step 5: Solve for x
    x = 33,408,400/5,192
  6. Step 6: Final answer
    x = 6,434.59

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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.