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Finding the Third Proportional to 20,525.91 and 27,687.76

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Solution

The third proportional to 20,525.91 and 27,687.76 is: 37,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.91 : 27,687.76 = 27,687.76 : x
  2. Step 2: Convert to fraction form
    20,525.91/27,687.76 = 27,687.76/x
  3. Step 3: Cross multiply
    20,525.91x = 27,687.76 × 27,687.76
  4. Step 4: Simplify right side
    20,525.91x = 766,612,148.99
  5. Step 5: Solve for x
    x = 766,612,148.99/20,525.91
  6. Step 6: Final answer
    x = 37,348.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.