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Finding the Third Proportional to 33,297 and 70,833

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Solution

The third proportional to 33,297 and 70,833 is: 150,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297 : 70,833 = 70,833 : x
  2. Step 2: Convert to fraction form
    33,297/70,833 = 70,833/x
  3. Step 3: Cross multiply
    33,297x = 70,833 × 70,833
  4. Step 4: Simplify right side
    33,297x = 5,017,313,889
  5. Step 5: Solve for x
    x = 5,017,313,889/33,297
  6. Step 6: Final answer
    x = 150,683.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.