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Finding the Third Proportional to 12,874 and 28,115

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Solution

The third proportional to 12,874 and 28,115 is: 61,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874 : 28,115 = 28,115 : x
  2. Step 2: Convert to fraction form
    12,874/28,115 = 28,115/x
  3. Step 3: Cross multiply
    12,874x = 28,115 × 28,115
  4. Step 4: Simplify right side
    12,874x = 790,453,225
  5. Step 5: Solve for x
    x = 790,453,225/12,874
  6. Step 6: Final answer
    x = 61,399.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.