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Finding the Third Proportional to 28.59 and 40.22

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Solution

The third proportional to 28.59 and 40.22 is: 56.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.59 : 40.22 = 40.22 : x
  2. Step 2: Convert to fraction form
    28.59/40.22 = 40.22/x
  3. Step 3: Cross multiply
    28.59x = 40.22 × 40.22
  4. Step 4: Simplify right side
    28.59x = 1,617.55
  5. Step 5: Solve for x
    x = 1,617.55/28.59
  6. Step 6: Final answer
    x = 56.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.