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Finding the Third Proportional to 33,620.06 and 45,684

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Solution

The third proportional to 33,620.06 and 45,684 is: 62,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,620.06 : 45,684 = 45,684 : x
  2. Step 2: Convert to fraction form
    33,620.06/45,684 = 45,684/x
  3. Step 3: Cross multiply
    33,620.06x = 45,684 × 45,684
  4. Step 4: Simplify right side
    33,620.06x = 2,087,027,856
  5. Step 5: Solve for x
    x = 2,087,027,856/33,620.06
  6. Step 6: Final answer
    x = 62,076.86

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