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Finding the Third Proportional to 16 and 32.56

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Solution

The third proportional to 16 and 32.56 is: 66.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 32.56 = 32.56 : x
  2. Step 2: Convert to fraction form
    16/32.56 = 32.56/x
  3. Step 3: Cross multiply
    16x = 32.56 × 32.56
  4. Step 4: Simplify right side
    16x = 1,060.32
  5. Step 5: Solve for x
    x = 1,060.32/16
  6. Step 6: Final answer
    x = 66.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.