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Finding the Third Proportional to 15,074 and 34,925

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Solution

The third proportional to 15,074 and 34,925 is: 80,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074 : 34,925 = 34,925 : x
  2. Step 2: Convert to fraction form
    15,074/34,925 = 34,925/x
  3. Step 3: Cross multiply
    15,074x = 34,925 × 34,925
  4. Step 4: Simplify right side
    15,074x = 1,219,755,625
  5. Step 5: Solve for x
    x = 1,219,755,625/15,074
  6. Step 6: Final answer
    x = 80,917.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.