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Finding the Third Proportional to 22.50 and 40.19

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Solution

The third proportional to 22.50 and 40.19 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.50 : 40.19 = 40.19 : x
  2. Step 2: Convert to fraction form
    22.50/40.19 = 40.19/x
  3. Step 3: Cross multiply
    22.50x = 40.19 × 40.19
  4. Step 4: Simplify right side
    22.50x = 1,615.04
  5. Step 5: Solve for x
    x = 1,615.04/22.50
  6. Step 6: Final answer
    x = 71.78

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.