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Finding the Third Proportional to 12,417 and 27,017

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Solution

The third proportional to 12,417 and 27,017 is: 58,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 27,017 = 27,017 : x
  2. Step 2: Convert to fraction form
    12,417/27,017 = 27,017/x
  3. Step 3: Cross multiply
    12,417x = 27,017 × 27,017
  4. Step 4: Simplify right side
    12,417x = 729,918,289
  5. Step 5: Solve for x
    x = 729,918,289/12,417
  6. Step 6: Final answer
    x = 58,783.79

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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.