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Finding the Third Proportional to 33,318 and 70,377

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Solution

The third proportional to 33,318 and 70,377 is: 148,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,318 : 70,377 = 70,377 : x
  2. Step 2: Convert to fraction form
    33,318/70,377 = 70,377/x
  3. Step 3: Cross multiply
    33,318x = 70,377 × 70,377
  4. Step 4: Simplify right side
    33,318x = 4,952,922,129
  5. Step 5: Solve for x
    x = 4,952,922,129/33,318
  6. Step 6: Final answer
    x = 148,656.05

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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.