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Finding the Third Proportional to 23,331.50 and 35,882

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Solution

The third proportional to 23,331.50 and 35,882 is: 55,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,331.50 : 35,882 = 35,882 : x
  2. Step 2: Convert to fraction form
    23,331.50/35,882 = 35,882/x
  3. Step 3: Cross multiply
    23,331.50x = 35,882 × 35,882
  4. Step 4: Simplify right side
    23,331.50x = 1,287,517,924
  5. Step 5: Solve for x
    x = 1,287,517,924/23,331.50
  6. Step 6: Final answer
    x = 55,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.