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Finding the Third Proportional to 18,641.81 and 27,082.69

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Solution

The third proportional to 18,641.81 and 27,082.69 is: 39,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.81 : 27,082.69 = 27,082.69 : x
  2. Step 2: Convert to fraction form
    18,641.81/27,082.69 = 27,082.69/x
  3. Step 3: Cross multiply
    18,641.81x = 27,082.69 × 27,082.69
  4. Step 4: Simplify right side
    18,641.81x = 733,471,962.22
  5. Step 5: Solve for x
    x = 733,471,962.22/18,641.81
  6. Step 6: Final answer
    x = 39,345.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.