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Finding the Third Proportional to 22,219.31 and 33,237.84

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Solution

The third proportional to 22,219.31 and 33,237.84 is: 49,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.31 : 33,237.84 = 33,237.84 : x
  2. Step 2: Convert to fraction form
    22,219.31/33,237.84 = 33,237.84/x
  3. Step 3: Cross multiply
    22,219.31x = 33,237.84 × 33,237.84
  4. Step 4: Simplify right side
    22,219.31x = 1,104,754,257.15
  5. Step 5: Solve for x
    x = 1,104,754,257.15/22,219.31
  6. Step 6: Final answer
    x = 49,720.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.