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Finding the Third Proportional to 23.31 and 52.34

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Solution

The third proportional to 23.31 and 52.34 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 52.34 = 52.34 : x
  2. Step 2: Convert to fraction form
    23.31/52.34 = 52.34/x
  3. Step 3: Cross multiply
    23.31x = 52.34 × 52.34
  4. Step 4: Simplify right side
    23.31x = 2,739.87
  5. Step 5: Solve for x
    x = 2,739.87/23.31
  6. Step 6: Final answer
    x = 117.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.