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Finding the Third Proportional to 13,318.80 and 22,195.05

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Solution

The third proportional to 13,318.80 and 22,195.05 is: 36,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.80 : 22,195.05 = 22,195.05 : x
  2. Step 2: Convert to fraction form
    13,318.80/22,195.05 = 22,195.05/x
  3. Step 3: Cross multiply
    13,318.80x = 22,195.05 × 22,195.05
  4. Step 4: Simplify right side
    13,318.80x = 492,620,452.58
  5. Step 5: Solve for x
    x = 492,620,452.58/13,318.80
  6. Step 6: Final answer
    x = 36,986.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.