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Finding the Third Proportional to 33,442.88 and 69,652.41

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Solution

The third proportional to 33,442.88 and 69,652.41 is: 145,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.88 : 69,652.41 = 69,652.41 : x
  2. Step 2: Convert to fraction form
    33,442.88/69,652.41 = 69,652.41/x
  3. Step 3: Cross multiply
    33,442.88x = 69,652.41 × 69,652.41
  4. Step 4: Simplify right side
    33,442.88x = 4,851,457,696.42
  5. Step 5: Solve for x
    x = 4,851,457,696.42/33,442.88
  6. Step 6: Final answer
    x = 145,067.00

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.