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Finding the Third Proportional to 7,493.75 and 16,081

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Solution

The third proportional to 7,493.75 and 16,081 is: 34,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.75 : 16,081 = 16,081 : x
  2. Step 2: Convert to fraction form
    7,493.75/16,081 = 16,081/x
  3. Step 3: Cross multiply
    7,493.75x = 16,081 × 16,081
  4. Step 4: Simplify right side
    7,493.75x = 258,598,561
  5. Step 5: Solve for x
    x = 258,598,561/7,493.75
  6. Step 6: Final answer
    x = 34,508.57

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Why These Related Problems?

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