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Finding the Third Proportional to 12.34 and 27.53

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Solution

The third proportional to 12.34 and 27.53 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 27.53 = 27.53 : x
  2. Step 2: Convert to fraction form
    12.34/27.53 = 27.53/x
  3. Step 3: Cross multiply
    12.34x = 27.53 × 27.53
  4. Step 4: Simplify right side
    12.34x = 757.75
  5. Step 5: Solve for x
    x = 757.75/12.34
  6. Step 6: Final answer
    x = 61.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.