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Finding the Third Proportional to 22,032.63 and 33,097.88

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Solution

The third proportional to 22,032.63 and 33,097.88 is: 49,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032.63 : 33,097.88 = 33,097.88 : x
  2. Step 2: Convert to fraction form
    22,032.63/33,097.88 = 33,097.88/x
  3. Step 3: Cross multiply
    22,032.63x = 33,097.88 × 33,097.88
  4. Step 4: Simplify right side
    22,032.63x = 1,095,469,329.52
  5. Step 5: Solve for x
    x = 1,095,469,329.52/22,032.63
  6. Step 6: Final answer
    x = 49,720.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.