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Finding the Third Proportional to 22,675.50 and 33,229.13

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Solution

The third proportional to 22,675.50 and 33,229.13 is: 48,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.50 : 33,229.13 = 33,229.13 : x
  2. Step 2: Convert to fraction form
    22,675.50/33,229.13 = 33,229.13/x
  3. Step 3: Cross multiply
    22,675.50x = 33,229.13 × 33,229.13
  4. Step 4: Simplify right side
    22,675.50x = 1,104,174,748.27
  5. Step 5: Solve for x
    x = 1,104,174,748.27/22,675.50
  6. Step 6: Final answer
    x = 48,694.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.