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Finding the Third Proportional to 12,264 and 26,757

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Solution

The third proportional to 12,264 and 26,757 is: 58,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 26,757 = 26,757 : x
  2. Step 2: Convert to fraction form
    12,264/26,757 = 26,757/x
  3. Step 3: Cross multiply
    12,264x = 26,757 × 26,757
  4. Step 4: Simplify right side
    12,264x = 715,937,049
  5. Step 5: Solve for x
    x = 715,937,049/12,264
  6. Step 6: Final answer
    x = 58,377.12

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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.