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Finding the Third Proportional to 15.42 and 22.31

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Solution

The third proportional to 15.42 and 22.31 is: 32.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 22.31 = 22.31 : x
  2. Step 2: Convert to fraction form
    15.42/22.31 = 22.31/x
  3. Step 3: Cross multiply
    15.42x = 22.31 × 22.31
  4. Step 4: Simplify right side
    15.42x = 497.59
  5. Step 5: Solve for x
    x = 497.59/15.42
  6. Step 6: Final answer
    x = 32.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.