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Finding the Third Proportional to 33,456.66 and 45,415.97

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Solution

The third proportional to 33,456.66 and 45,415.97 is: 61,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.66 : 45,415.97 = 45,415.97 : x
  2. Step 2: Convert to fraction form
    33,456.66/45,415.97 = 45,415.97/x
  3. Step 3: Cross multiply
    33,456.66x = 45,415.97 × 45,415.97
  4. Step 4: Simplify right side
    33,456.66x = 2,062,610,217.50
  5. Step 5: Solve for x
    x = 2,062,610,217.50/33,456.66
  6. Step 6: Final answer
    x = 61,650.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.