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Finding the Third Proportional to 4,140 and 5,898

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Solution

The third proportional to 4,140 and 5,898 is: 8,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,898 = 5,898 : x
  2. Step 2: Convert to fraction form
    4,140/5,898 = 5,898/x
  3. Step 3: Cross multiply
    4,140x = 5,898 × 5,898
  4. Step 4: Simplify right side
    4,140x = 34,786,404
  5. Step 5: Solve for x
    x = 34,786,404/4,140
  6. Step 6: Final answer
    x = 8,402.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.