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Finding the Third Proportional to 5,874 and 12,716

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Solution

The third proportional to 5,874 and 12,716 is: 27,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874 : 12,716 = 12,716 : x
  2. Step 2: Convert to fraction form
    5,874/12,716 = 12,716/x
  3. Step 3: Cross multiply
    5,874x = 12,716 × 12,716
  4. Step 4: Simplify right side
    5,874x = 161,696,656
  5. Step 5: Solve for x
    x = 161,696,656/5,874
  6. Step 6: Final answer
    x = 27,527.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.