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Finding the Third Proportional to 16.07 and 34.74

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Solution

The third proportional to 16.07 and 34.74 is: 75.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.07 : 34.74 = 34.74 : x
  2. Step 2: Convert to fraction form
    16.07/34.74 = 34.74/x
  3. Step 3: Cross multiply
    16.07x = 34.74 × 34.74
  4. Step 4: Simplify right side
    16.07x = 1,206.78
  5. Step 5: Solve for x
    x = 1,206.78/16.07
  6. Step 6: Final answer
    x = 75.09

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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.