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Finding the Third Proportional to 12,529.50 and 27,539

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Solution

The third proportional to 12,529.50 and 27,539 is: 60,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.50 : 27,539 = 27,539 : x
  2. Step 2: Convert to fraction form
    12,529.50/27,539 = 27,539/x
  3. Step 3: Cross multiply
    12,529.50x = 27,539 × 27,539
  4. Step 4: Simplify right side
    12,529.50x = 758,396,521
  5. Step 5: Solve for x
    x = 758,396,521/12,529.50
  6. Step 6: Final answer
    x = 60,528.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.