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Finding the Third Proportional to 33,281 and 71,889

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Solution

The third proportional to 33,281 and 71,889 is: 155,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281 : 71,889 = 71,889 : x
  2. Step 2: Convert to fraction form
    33,281/71,889 = 71,889/x
  3. Step 3: Cross multiply
    33,281x = 71,889 × 71,889
  4. Step 4: Simplify right side
    33,281x = 5,168,028,321
  5. Step 5: Solve for x
    x = 5,168,028,321/33,281
  6. Step 6: Final answer
    x = 155,284.65

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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.