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Finding the Third Proportional to 12,519 and 27,200

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Solution

The third proportional to 12,519 and 27,200 is: 59,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519 : 27,200 = 27,200 : x
  2. Step 2: Convert to fraction form
    12,519/27,200 = 27,200/x
  3. Step 3: Cross multiply
    12,519x = 27,200 × 27,200
  4. Step 4: Simplify right side
    12,519x = 739,840,000
  5. Step 5: Solve for x
    x = 739,840,000/12,519
  6. Step 6: Final answer
    x = 59,097.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.