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Finding the Third Proportional to 4,182 and 5,897

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Solution

The third proportional to 4,182 and 5,897 is: 8,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 5,897 = 5,897 : x
  2. Step 2: Convert to fraction form
    4,182/5,897 = 5,897/x
  3. Step 3: Cross multiply
    4,182x = 5,897 × 5,897
  4. Step 4: Simplify right side
    4,182x = 34,774,609
  5. Step 5: Solve for x
    x = 34,774,609/4,182
  6. Step 6: Final answer
    x = 8,315.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.