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Finding the Third Proportional to 16,256.25 and 34,937.38

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Solution

The third proportional to 16,256.25 and 34,937.38 is: 75,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.25 : 34,937.38 = 34,937.38 : x
  2. Step 2: Convert to fraction form
    16,256.25/34,937.38 = 34,937.38/x
  3. Step 3: Cross multiply
    16,256.25x = 34,937.38 × 34,937.38
  4. Step 4: Simplify right side
    16,256.25x = 1,220,620,171.89
  5. Step 5: Solve for x
    x = 1,220,620,171.89/16,256.25
  6. Step 6: Final answer
    x = 75,086.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.