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Finding the Third Proportional to 16.02 and 34.53

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Solution

The third proportional to 16.02 and 34.53 is: 74.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 34.53 = 34.53 : x
  2. Step 2: Convert to fraction form
    16.02/34.53 = 34.53/x
  3. Step 3: Cross multiply
    16.02x = 34.53 × 34.53
  4. Step 4: Simplify right side
    16.02x = 1,192.17
  5. Step 5: Solve for x
    x = 1,192.17/16.02
  6. Step 6: Final answer
    x = 74.43

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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.