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Finding the Third Proportional to 12.34 and 29.43

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Solution

The third proportional to 12.34 and 29.43 is: 70.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 29.43 = 29.43 : x
  2. Step 2: Convert to fraction form
    12.34/29.43 = 29.43/x
  3. Step 3: Cross multiply
    12.34x = 29.43 × 29.43
  4. Step 4: Simplify right side
    12.34x = 865.88
  5. Step 5: Solve for x
    x = 865.88/12.34
  6. Step 6: Final answer
    x = 70.17

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.