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Finding the Third Proportional to 16.53 and 35.84

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Solution

The third proportional to 16.53 and 35.84 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.53 : 35.84 = 35.84 : x
  2. Step 2: Convert to fraction form
    16.53/35.84 = 35.84/x
  3. Step 3: Cross multiply
    16.53x = 35.84 × 35.84
  4. Step 4: Simplify right side
    16.53x = 1,284.77
  5. Step 5: Solve for x
    x = 1,284.77/16.53
  6. Step 6: Final answer
    x = 77.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.