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Finding the Third Proportional to 4,192 and 5,862

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Solution

The third proportional to 4,192 and 5,862 is: 8,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 5,862 = 5,862 : x
  2. Step 2: Convert to fraction form
    4,192/5,862 = 5,862/x
  3. Step 3: Cross multiply
    4,192x = 5,862 × 5,862
  4. Step 4: Simplify right side
    4,192x = 34,363,044
  5. Step 5: Solve for x
    x = 34,363,044/4,192
  6. Step 6: Final answer
    x = 8,197.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.