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Finding the Third Proportional to 5,142 and 5,862

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Solution

The third proportional to 5,142 and 5,862 is: 6,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142 : 5,862 = 5,862 : x
  2. Step 2: Convert to fraction form
    5,142/5,862 = 5,862/x
  3. Step 3: Cross multiply
    5,142x = 5,862 × 5,862
  4. Step 4: Simplify right side
    5,142x = 34,363,044
  5. Step 5: Solve for x
    x = 34,363,044/5,142
  6. Step 6: Final answer
    x = 6,682.82

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.