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Finding the Third Proportional to 5,940 and 13,758

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Solution

The third proportional to 5,940 and 13,758 is: 31,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 13,758 = 13,758 : x
  2. Step 2: Convert to fraction form
    5,940/13,758 = 13,758/x
  3. Step 3: Cross multiply
    5,940x = 13,758 × 13,758
  4. Step 4: Simplify right side
    5,940x = 189,282,564
  5. Step 5: Solve for x
    x = 189,282,564/5,940
  6. Step 6: Final answer
    x = 31,865.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.