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Finding the Third Proportional to 21.85 and 40.55

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Solution

The third proportional to 21.85 and 40.55 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.85 : 40.55 = 40.55 : x
  2. Step 2: Convert to fraction form
    21.85/40.55 = 40.55/x
  3. Step 3: Cross multiply
    21.85x = 40.55 × 40.55
  4. Step 4: Simplify right side
    21.85x = 1,643.96
  5. Step 5: Solve for x
    x = 1,643.96/21.85
  6. Step 6: Final answer
    x = 75.24

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.