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Finding the Third Proportional to 16.58 and 36.36

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Solution

The third proportional to 16.58 and 36.36 is: 79.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.58 : 36.36 = 36.36 : x
  2. Step 2: Convert to fraction form
    16.58/36.36 = 36.36/x
  3. Step 3: Cross multiply
    16.58x = 36.36 × 36.36
  4. Step 4: Simplify right side
    16.58x = 1,322.08
  5. Step 5: Solve for x
    x = 1,322.08/16.58
  6. Step 6: Final answer
    x = 79.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.