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Finding the Third Proportional to 12.34 and 23.73

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Solution

The third proportional to 12.34 and 23.73 is: 45.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 23.73 = 23.73 : x
  2. Step 2: Convert to fraction form
    12.34/23.73 = 23.73/x
  3. Step 3: Cross multiply
    12.34x = 23.73 × 23.73
  4. Step 4: Simplify right side
    12.34x = 563.14
  5. Step 5: Solve for x
    x = 563.14/12.34
  6. Step 6: Final answer
    x = 45.64

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.