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Finding the Third Proportional to 12,527 and 27,241

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Solution

The third proportional to 12,527 and 27,241 is: 59,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527 : 27,241 = 27,241 : x
  2. Step 2: Convert to fraction form
    12,527/27,241 = 27,241/x
  3. Step 3: Cross multiply
    12,527x = 27,241 × 27,241
  4. Step 4: Simplify right side
    12,527x = 742,072,081
  5. Step 5: Solve for x
    x = 742,072,081/12,527
  6. Step 6: Final answer
    x = 59,237.81

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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.