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Finding the Third Proportional to 12,482 and 27,154

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Solution

The third proportional to 12,482 and 27,154 is: 59,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482 : 27,154 = 27,154 : x
  2. Step 2: Convert to fraction form
    12,482/27,154 = 27,154/x
  3. Step 3: Cross multiply
    12,482x = 27,154 × 27,154
  4. Step 4: Simplify right side
    12,482x = 737,339,716
  5. Step 5: Solve for x
    x = 737,339,716/12,482
  6. Step 6: Final answer
    x = 59,072.24

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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.