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Finding the Third Proportional to 34,608.38 and 54,219.38

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Solution

The third proportional to 34,608.38 and 54,219.38 is: 84,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,608.38 : 54,219.38 = 54,219.38 : x
  2. Step 2: Convert to fraction form
    34,608.38/54,219.38 = 54,219.38/x
  3. Step 3: Cross multiply
    34,608.38x = 54,219.38 × 54,219.38
  4. Step 4: Simplify right side
    34,608.38x = 2,939,740,625.39
  5. Step 5: Solve for x
    x = 2,939,740,625.39/34,608.38
  6. Step 6: Final answer
    x = 84,943.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.