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Finding the Third Proportional to 12,701 and 27,521

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Solution

The third proportional to 12,701 and 27,521 is: 59,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701 : 27,521 = 27,521 : x
  2. Step 2: Convert to fraction form
    12,701/27,521 = 27,521/x
  3. Step 3: Cross multiply
    12,701x = 27,521 × 27,521
  4. Step 4: Simplify right side
    12,701x = 757,405,441
  5. Step 5: Solve for x
    x = 757,405,441/12,701
  6. Step 6: Final answer
    x = 59,633.53

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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.