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Finding the Third Proportional to 16 and 36.25

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Solution

The third proportional to 16 and 36.25 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 36.25 = 36.25 : x
  2. Step 2: Convert to fraction form
    16/36.25 = 36.25/x
  3. Step 3: Cross multiply
    16x = 36.25 × 36.25
  4. Step 4: Simplify right side
    16x = 1,314.06
  5. Step 5: Solve for x
    x = 1,314.06/16
  6. Step 6: Final answer
    x = 82.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.