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Finding the Third Proportional to 33,920 and 54,480

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Solution

The third proportional to 33,920 and 54,480 is: 87,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920 : 54,480 = 54,480 : x
  2. Step 2: Convert to fraction form
    33,920/54,480 = 54,480/x
  3. Step 3: Cross multiply
    33,920x = 54,480 × 54,480
  4. Step 4: Simplify right side
    33,920x = 2,968,070,400
  5. Step 5: Solve for x
    x = 2,968,070,400/33,920
  6. Step 6: Final answer
    x = 87,502.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.