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Finding the Third Proportional to 33,297 and 70,724

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Solution

The third proportional to 33,297 and 70,724 is: 150,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297 : 70,724 = 70,724 : x
  2. Step 2: Convert to fraction form
    33,297/70,724 = 70,724/x
  3. Step 3: Cross multiply
    33,297x = 70,724 × 70,724
  4. Step 4: Simplify right side
    33,297x = 5,001,884,176
  5. Step 5: Solve for x
    x = 5,001,884,176/33,297
  6. Step 6: Final answer
    x = 150,220.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.