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Finding the Third Proportional to 12,596 and 27,400

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Solution

The third proportional to 12,596 and 27,400 is: 59,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 27,400 = 27,400 : x
  2. Step 2: Convert to fraction form
    12,596/27,400 = 27,400/x
  3. Step 3: Cross multiply
    12,596x = 27,400 × 27,400
  4. Step 4: Simplify right side
    12,596x = 750,760,000
  5. Step 5: Solve for x
    x = 750,760,000/12,596
  6. Step 6: Final answer
    x = 59,603.05

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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.