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Finding the Third Proportional to 13,614.75 and 32,211

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Solution

The third proportional to 13,614.75 and 32,211 is: 76,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 32,211 = 32,211 : x
  2. Step 2: Convert to fraction form
    13,614.75/32,211 = 32,211/x
  3. Step 3: Cross multiply
    13,614.75x = 32,211 × 32,211
  4. Step 4: Simplify right side
    13,614.75x = 1,037,548,521
  5. Step 5: Solve for x
    x = 1,037,548,521/13,614.75
  6. Step 6: Final answer
    x = 76,207.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.