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Finding the Third Proportional to 33.12 and 71.51

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Solution

The third proportional to 33.12 and 71.51 is: 154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 71.51 = 71.51 : x
  2. Step 2: Convert to fraction form
    33.12/71.51 = 71.51/x
  3. Step 3: Cross multiply
    33.12x = 71.51 × 71.51
  4. Step 4: Simplify right side
    33.12x = 5,113.37
  5. Step 5: Solve for x
    x = 5,113.37/33.12
  6. Step 6: Final answer
    x = 154.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.