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Finding the Third Proportional to 16 and 37.56

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Solution

The third proportional to 16 and 37.56 is: 88.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 37.56 = 37.56 : x
  2. Step 2: Convert to fraction form
    16/37.56 = 37.56/x
  3. Step 3: Cross multiply
    16x = 37.56 × 37.56
  4. Step 4: Simplify right side
    16x = 1,410.94
  5. Step 5: Solve for x
    x = 1,410.94/16
  6. Step 6: Final answer
    x = 88.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.