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Finding the Third Proportional to 33,480 and 51,871

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Solution

The third proportional to 33,480 and 51,871 is: 80,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480 : 51,871 = 51,871 : x
  2. Step 2: Convert to fraction form
    33,480/51,871 = 51,871/x
  3. Step 3: Cross multiply
    33,480x = 51,871 × 51,871
  4. Step 4: Simplify right side
    33,480x = 2,690,600,641
  5. Step 5: Solve for x
    x = 2,690,600,641/33,480
  6. Step 6: Final answer
    x = 80,364.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.