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Finding the Third Proportional to 12.34 and 26.68

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Solution

The third proportional to 12.34 and 26.68 is: 57.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 26.68 = 26.68 : x
  2. Step 2: Convert to fraction form
    12.34/26.68 = 26.68/x
  3. Step 3: Cross multiply
    12.34x = 26.68 × 26.68
  4. Step 4: Simplify right side
    12.34x = 712.01
  5. Step 5: Solve for x
    x = 712.01/12.34
  6. Step 6: Final answer
    x = 57.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.