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Finding the Third Proportional to 12,472 and 27,713

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Solution

The third proportional to 12,472 and 27,713 is: 61,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472 : 27,713 = 27,713 : x
  2. Step 2: Convert to fraction form
    12,472/27,713 = 27,713/x
  3. Step 3: Cross multiply
    12,472x = 27,713 × 27,713
  4. Step 4: Simplify right side
    12,472x = 768,010,369
  5. Step 5: Solve for x
    x = 768,010,369/12,472
  6. Step 6: Final answer
    x = 61,578.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.