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Finding the Third Proportional to 5,874 and 10,758

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Solution

The third proportional to 5,874 and 10,758 is: 19,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 10,758 = 10,758 : x
  2. Step 2: Convert to fraction form
    5,874/10,758 = 10,758/x
  3. Step 3: Cross multiply
    5,874x = 10,758 × 10,758
  4. Step 4: Simplify right side
    5,874x = 115,734,564
  5. Step 5: Solve for x
    x = 115,734,564/5,874
  6. Step 6: Final answer
    x = 19,702.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.