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Finding the Third Proportional to 20,206.13 and 27,182.25

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Solution

The third proportional to 20,206.13 and 27,182.25 is: 36,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.13 : 27,182.25 = 27,182.25 : x
  2. Step 2: Convert to fraction form
    20,206.13/27,182.25 = 27,182.25/x
  3. Step 3: Cross multiply
    20,206.13x = 27,182.25 × 27,182.25
  4. Step 4: Simplify right side
    20,206.13x = 738,874,715.06
  5. Step 5: Solve for x
    x = 738,874,715.06/20,206.13
  6. Step 6: Final answer
    x = 36,566.87

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