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Finding the Third Proportional to 12,744.50 and 27,442

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Solution

The third proportional to 12,744.50 and 27,442 is: 59,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.50 : 27,442 = 27,442 : x
  2. Step 2: Convert to fraction form
    12,744.50/27,442 = 27,442/x
  3. Step 3: Cross multiply
    12,744.50x = 27,442 × 27,442
  4. Step 4: Simplify right side
    12,744.50x = 753,063,364
  5. Step 5: Solve for x
    x = 753,063,364/12,744.50
  6. Step 6: Final answer
    x = 59,089.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.