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Finding the Third Proportional to 22.52 and 29.40

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Solution

The third proportional to 22.52 and 29.40 is: 38.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.52 : 29.40 = 29.40 : x
  2. Step 2: Convert to fraction form
    22.52/29.40 = 29.40/x
  3. Step 3: Cross multiply
    22.52x = 29.40 × 29.40
  4. Step 4: Simplify right side
    22.52x = 864.55
  5. Step 5: Solve for x
    x = 864.55/22.52
  6. Step 6: Final answer
    x = 38.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.