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Finding the Third Proportional to 18,284.25 and 27,306.75

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Solution

The third proportional to 18,284.25 and 27,306.75 is: 40,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.25 : 27,306.75 = 27,306.75 : x
  2. Step 2: Convert to fraction form
    18,284.25/27,306.75 = 27,306.75/x
  3. Step 3: Cross multiply
    18,284.25x = 27,306.75 × 27,306.75
  4. Step 4: Simplify right side
    18,284.25x = 745,658,595.56
  5. Step 5: Solve for x
    x = 745,658,595.56/18,284.25
  6. Step 6: Final answer
    x = 40,781.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.