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Finding the Third Proportional to 33,304 and 71,480

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Solution

The third proportional to 33,304 and 71,480 is: 153,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,304 : 71,480 = 71,480 : x
  2. Step 2: Convert to fraction form
    33,304/71,480 = 71,480/x
  3. Step 3: Cross multiply
    33,304x = 71,480 × 71,480
  4. Step 4: Simplify right side
    33,304x = 5,109,390,400
  5. Step 5: Solve for x
    x = 5,109,390,400/33,304
  6. Step 6: Final answer
    x = 153,416.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.