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Finding the Third Proportional to 33,452.16 and 48,922.13

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Solution

The third proportional to 33,452.16 and 48,922.13 is: 71,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452.16 : 48,922.13 = 48,922.13 : x
  2. Step 2: Convert to fraction form
    33,452.16/48,922.13 = 48,922.13/x
  3. Step 3: Cross multiply
    33,452.16x = 48,922.13 × 48,922.13
  4. Step 4: Simplify right side
    33,452.16x = 2,393,374,314.52
  5. Step 5: Solve for x
    x = 2,393,374,314.52/33,452.16
  6. Step 6: Final answer
    x = 71,546.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.