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Finding the Third Proportional to 13,232.25 and 20,531.25

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Solution

The third proportional to 13,232.25 and 20,531.25 is: 31,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.25 : 20,531.25 = 20,531.25 : x
  2. Step 2: Convert to fraction form
    13,232.25/20,531.25 = 20,531.25/x
  3. Step 3: Cross multiply
    13,232.25x = 20,531.25 × 20,531.25
  4. Step 4: Simplify right side
    13,232.25x = 421,532,226.56
  5. Step 5: Solve for x
    x = 421,532,226.56/13,232.25
  6. Step 6: Final answer
    x = 31,856.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.