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Finding the Third Proportional to 17.34 and 29.48

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Solution

The third proportional to 17.34 and 29.48 is: 50.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.34 : 29.48 = 29.48 : x
  2. Step 2: Convert to fraction form
    17.34/29.48 = 29.48/x
  3. Step 3: Cross multiply
    17.34x = 29.48 × 29.48
  4. Step 4: Simplify right side
    17.34x = 868.81
  5. Step 5: Solve for x
    x = 868.81/17.34
  6. Step 6: Final answer
    x = 50.11

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.