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Finding the Third Proportional to 33,326 and 72,304

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Solution

The third proportional to 33,326 and 72,304 is: 156,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,326 : 72,304 = 72,304 : x
  2. Step 2: Convert to fraction form
    33,326/72,304 = 72,304/x
  3. Step 3: Cross multiply
    33,326x = 72,304 × 72,304
  4. Step 4: Simplify right side
    33,326x = 5,227,868,416
  5. Step 5: Solve for x
    x = 5,227,868,416/33,326
  6. Step 6: Final answer
    x = 156,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.