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Finding the Third Proportional to 33,284.25 and 72,445.88

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Solution

The third proportional to 33,284.25 and 72,445.88 is: 157,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.25 : 72,445.88 = 72,445.88 : x
  2. Step 2: Convert to fraction form
    33,284.25/72,445.88 = 72,445.88/x
  3. Step 3: Cross multiply
    33,284.25x = 72,445.88 × 72,445.88
  4. Step 4: Simplify right side
    33,284.25x = 5,248,404,804.52
  5. Step 5: Solve for x
    x = 5,248,404,804.52/33,284.25
  6. Step 6: Final answer
    x = 157,684.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.