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Finding the Third Proportional to 33,427.22 and 74,235.47

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Solution

The third proportional to 33,427.22 and 74,235.47 is: 164,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.22 : 74,235.47 = 74,235.47 : x
  2. Step 2: Convert to fraction form
    33,427.22/74,235.47 = 74,235.47/x
  3. Step 3: Cross multiply
    33,427.22x = 74,235.47 × 74,235.47
  4. Step 4: Simplify right side
    33,427.22x = 5,510,904,820.53
  5. Step 5: Solve for x
    x = 5,510,904,820.53/33,427.22
  6. Step 6: Final answer
    x = 164,862.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.