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Finding the Third Proportional to 34,115.06 and 74,028.75

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Solution

The third proportional to 34,115.06 and 74,028.75 is: 160,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.06 : 74,028.75 = 74,028.75 : x
  2. Step 2: Convert to fraction form
    34,115.06/74,028.75 = 74,028.75/x
  3. Step 3: Cross multiply
    34,115.06x = 74,028.75 × 74,028.75
  4. Step 4: Simplify right side
    34,115.06x = 5,480,255,826.56
  5. Step 5: Solve for x
    x = 5,480,255,826.56/34,115.06
  6. Step 6: Final answer
    x = 160,640.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.