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Finding the Third Proportional to 33,220.40 and 51,299.46

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Solution

The third proportional to 33,220.40 and 51,299.46 is: 79,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.40 : 51,299.46 = 51,299.46 : x
  2. Step 2: Convert to fraction form
    33,220.40/51,299.46 = 51,299.46/x
  3. Step 3: Cross multiply
    33,220.40x = 51,299.46 × 51,299.46
  4. Step 4: Simplify right side
    33,220.40x = 2,631,634,542.19
  5. Step 5: Solve for x
    x = 2,631,634,542.19/33,220.40
  6. Step 6: Final answer
    x = 79,217.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.