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Finding the Third Proportional to 36,306 and 54,456.75

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Solution

The third proportional to 36,306 and 54,456.75 is: 81,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,306 : 54,456.75 = 54,456.75 : x
  2. Step 2: Convert to fraction form
    36,306/54,456.75 = 54,456.75/x
  3. Step 3: Cross multiply
    36,306x = 54,456.75 × 54,456.75
  4. Step 4: Simplify right side
    36,306x = 2,965,537,620.56
  5. Step 5: Solve for x
    x = 2,965,537,620.56/36,306
  6. Step 6: Final answer
    x = 81,681.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.