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Finding the Third Proportional to 33,480 and 72,171

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Solution

The third proportional to 33,480 and 72,171 is: 155,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480 : 72,171 = 72,171 : x
  2. Step 2: Convert to fraction form
    33,480/72,171 = 72,171/x
  3. Step 3: Cross multiply
    33,480x = 72,171 × 72,171
  4. Step 4: Simplify right side
    33,480x = 5,208,653,241
  5. Step 5: Solve for x
    x = 5,208,653,241/33,480
  6. Step 6: Final answer
    x = 155,575.07

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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.