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Finding the Third Proportional to 32,998 and 71,204

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Solution

The third proportional to 32,998 and 71,204 is: 153,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 71,204 = 71,204 : x
  2. Step 2: Convert to fraction form
    32,998/71,204 = 71,204/x
  3. Step 3: Cross multiply
    32,998x = 71,204 × 71,204
  4. Step 4: Simplify right side
    32,998x = 5,070,009,616
  5. Step 5: Solve for x
    x = 5,070,009,616/32,998
  6. Step 6: Final answer
    x = 153,645.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.