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Finding the Third Proportional to 36,279.14 and 54,966.09

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Solution

The third proportional to 36,279.14 and 54,966.09 is: 83,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,279.14 : 54,966.09 = 54,966.09 : x
  2. Step 2: Convert to fraction form
    36,279.14/54,966.09 = 54,966.09/x
  3. Step 3: Cross multiply
    36,279.14x = 54,966.09 × 54,966.09
  4. Step 4: Simplify right side
    36,279.14x = 3,021,271,462.13
  5. Step 5: Solve for x
    x = 3,021,271,462.13/36,279.14
  6. Step 6: Final answer
    x = 83,278.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.