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Finding the Third Proportional to 20,302.31 and 27,658.13

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Solution

The third proportional to 20,302.31 and 27,658.13 is: 37,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.31 : 27,658.13 = 27,658.13 : x
  2. Step 2: Convert to fraction form
    20,302.31/27,658.13 = 27,658.13/x
  3. Step 3: Cross multiply
    20,302.31x = 27,658.13 × 27,658.13
  4. Step 4: Simplify right side
    20,302.31x = 764,971,878.52
  5. Step 5: Solve for x
    x = 764,971,878.52/20,302.31
  6. Step 6: Final answer
    x = 37,679.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.