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Finding the Third Proportional to 22,203 and 32,965.50

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Solution

The third proportional to 22,203 and 32,965.50 is: 48,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203 : 32,965.50 = 32,965.50 : x
  2. Step 2: Convert to fraction form
    22,203/32,965.50 = 32,965.50/x
  3. Step 3: Cross multiply
    22,203x = 32,965.50 × 32,965.50
  4. Step 4: Simplify right side
    22,203x = 1,086,724,190.25
  5. Step 5: Solve for x
    x = 1,086,724,190.25/22,203
  6. Step 6: Final answer
    x = 48,944.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.