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Finding the Third Proportional to 34 and 37.13

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Solution

The third proportional to 34 and 37.13 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 37.13 = 37.13 : x
  2. Step 2: Convert to fraction form
    34/37.13 = 37.13/x
  3. Step 3: Cross multiply
    34x = 37.13 × 37.13
  4. Step 4: Simplify right side
    34x = 1,378.27
  5. Step 5: Solve for x
    x = 1,378.27/34
  6. Step 6: Final answer
    x = 40.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.