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Finding the Third Proportional to 33,015 and 72,291

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Solution

The third proportional to 33,015 and 72,291 is: 158,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015 : 72,291 = 72,291 : x
  2. Step 2: Convert to fraction form
    33,015/72,291 = 72,291/x
  3. Step 3: Cross multiply
    33,015x = 72,291 × 72,291
  4. Step 4: Simplify right side
    33,015x = 5,225,988,681
  5. Step 5: Solve for x
    x = 5,225,988,681/33,015
  6. Step 6: Final answer
    x = 158,291.34

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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.