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Finding the Third Proportional to 22,194 and 33,432.75

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Solution

The third proportional to 22,194 and 33,432.75 is: 50,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 33,432.75 = 33,432.75 : x
  2. Step 2: Convert to fraction form
    22,194/33,432.75 = 33,432.75/x
  3. Step 3: Cross multiply
    22,194x = 33,432.75 × 33,432.75
  4. Step 4: Simplify right side
    22,194x = 1,117,748,772.56
  5. Step 5: Solve for x
    x = 1,117,748,772.56/22,194
  6. Step 6: Final answer
    x = 50,362.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.