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Finding the Third Proportional to 13,216.50 and 20,454.75

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Solution

The third proportional to 13,216.50 and 20,454.75 is: 31,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.50 : 20,454.75 = 20,454.75 : x
  2. Step 2: Convert to fraction form
    13,216.50/20,454.75 = 20,454.75/x
  3. Step 3: Cross multiply
    13,216.50x = 20,454.75 × 20,454.75
  4. Step 4: Simplify right side
    13,216.50x = 418,396,797.56
  5. Step 5: Solve for x
    x = 418,396,797.56/13,216.50
  6. Step 6: Final answer
    x = 31,657.16

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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.