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Finding the Third Proportional to 15,174 and 32,231.25

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Solution

The third proportional to 15,174 and 32,231.25 is: 68,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174 : 32,231.25 = 32,231.25 : x
  2. Step 2: Convert to fraction form
    15,174/32,231.25 = 32,231.25/x
  3. Step 3: Cross multiply
    15,174x = 32,231.25 × 32,231.25
  4. Step 4: Simplify right side
    15,174x = 1,038,853,476.56
  5. Step 5: Solve for x
    x = 1,038,853,476.56/15,174
  6. Step 6: Final answer
    x = 68,462.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.