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Finding the Third Proportional to 20,685.38 and 27,155.25

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Solution

The third proportional to 20,685.38 and 27,155.25 is: 35,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.38 : 27,155.25 = 27,155.25 : x
  2. Step 2: Convert to fraction form
    20,685.38/27,155.25 = 27,155.25/x
  3. Step 3: Cross multiply
    20,685.38x = 27,155.25 × 27,155.25
  4. Step 4: Simplify right side
    20,685.38x = 737,407,602.56
  5. Step 5: Solve for x
    x = 737,407,602.56/20,685.38
  6. Step 6: Final answer
    x = 35,648.74

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.