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Finding the Third Proportional to 54,428.44 and 82,463.06

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Solution

The third proportional to 54,428.44 and 82,463.06 is: 124,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428.44 : 82,463.06 = 82,463.06 : x
  2. Step 2: Convert to fraction form
    54,428.44/82,463.06 = 82,463.06/x
  3. Step 3: Cross multiply
    54,428.44x = 82,463.06 × 82,463.06
  4. Step 4: Simplify right side
    54,428.44x = 6,800,156,676.88
  5. Step 5: Solve for x
    x = 6,800,156,676.88/54,428.44
  6. Step 6: Final answer
    x = 124,937.57

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Why These Related Problems?

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