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Finding the Third Proportional to 16 and 42.13

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Solution

The third proportional to 16 and 42.13 is: 110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 42.13 = 42.13 : x
  2. Step 2: Convert to fraction form
    16/42.13 = 42.13/x
  3. Step 3: Cross multiply
    16x = 42.13 × 42.13
  4. Step 4: Simplify right side
    16x = 1,774.52
  5. Step 5: Solve for x
    x = 1,774.52/16
  6. Step 6: Final answer
    x = 110.91

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.