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Finding the Third Proportional to 33,250 and 72,858

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Solution

The third proportional to 33,250 and 72,858 is: 159,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 72,858 = 72,858 : x
  2. Step 2: Convert to fraction form
    33,250/72,858 = 72,858/x
  3. Step 3: Cross multiply
    33,250x = 72,858 × 72,858
  4. Step 4: Simplify right side
    33,250x = 5,308,288,164
  5. Step 5: Solve for x
    x = 5,308,288,164/33,250
  6. Step 6: Final answer
    x = 159,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.