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Finding the Third Proportional to 33,266 and 71,716

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Solution

The third proportional to 33,266 and 71,716 is: 154,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266 : 71,716 = 71,716 : x
  2. Step 2: Convert to fraction form
    33,266/71,716 = 71,716/x
  3. Step 3: Cross multiply
    33,266x = 71,716 × 71,716
  4. Step 4: Simplify right side
    33,266x = 5,143,184,656
  5. Step 5: Solve for x
    x = 5,143,184,656/33,266
  6. Step 6: Final answer
    x = 154,607.85

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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.