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Finding the Third Proportional to 33,330 and 70,407

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Solution

The third proportional to 33,330 and 70,407 is: 148,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,330 : 70,407 = 70,407 : x
  2. Step 2: Convert to fraction form
    33,330/70,407 = 70,407/x
  3. Step 3: Cross multiply
    33,330x = 70,407 × 70,407
  4. Step 4: Simplify right side
    33,330x = 4,957,145,649
  5. Step 5: Solve for x
    x = 4,957,145,649/33,330
  6. Step 6: Final answer
    x = 148,729.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.