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Finding the Third Proportional to 12,418 and 27,158

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Solution

The third proportional to 12,418 and 27,158 is: 59,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 27,158 = 27,158 : x
  2. Step 2: Convert to fraction form
    12,418/27,158 = 27,158/x
  3. Step 3: Cross multiply
    12,418x = 27,158 × 27,158
  4. Step 4: Simplify right side
    12,418x = 737,556,964
  5. Step 5: Solve for x
    x = 737,556,964/12,418
  6. Step 6: Final answer
    x = 59,394.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.