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Finding the Third Proportional to 33,732 and 53,718

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Solution

The third proportional to 33,732 and 53,718 is: 85,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,732 : 53,718 = 53,718 : x
  2. Step 2: Convert to fraction form
    33,732/53,718 = 53,718/x
  3. Step 3: Cross multiply
    33,732x = 53,718 × 53,718
  4. Step 4: Simplify right side
    33,732x = 2,885,623,524
  5. Step 5: Solve for x
    x = 2,885,623,524/33,732
  6. Step 6: Final answer
    x = 85,545.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.