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Finding the Third Proportional to 33,344 and 72,411

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Solution

The third proportional to 33,344 and 72,411 is: 157,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,344 : 72,411 = 72,411 : x
  2. Step 2: Convert to fraction form
    33,344/72,411 = 72,411/x
  3. Step 3: Cross multiply
    33,344x = 72,411 × 72,411
  4. Step 4: Simplify right side
    33,344x = 5,243,352,921
  5. Step 5: Solve for x
    x = 5,243,352,921/33,344
  6. Step 6: Final answer
    x = 157,250.27

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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.