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Finding the Third Proportional to 15,213.25 and 32,767.25

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Solution

The third proportional to 15,213.25 and 32,767.25 is: 70,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.25 : 32,767.25 = 32,767.25 : x
  2. Step 2: Convert to fraction form
    15,213.25/32,767.25 = 32,767.25/x
  3. Step 3: Cross multiply
    15,213.25x = 32,767.25 × 32,767.25
  4. Step 4: Simplify right side
    15,213.25x = 1,073,692,672.56
  5. Step 5: Solve for x
    x = 1,073,692,672.56/15,213.25
  6. Step 6: Final answer
    x = 70,576.15

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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.