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Finding the Third Proportional to 16,082.16 and 35,436.38

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Solution

The third proportional to 16,082.16 and 35,436.38 is: 78,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.16 : 35,436.38 = 35,436.38 : x
  2. Step 2: Convert to fraction form
    16,082.16/35,436.38 = 35,436.38/x
  3. Step 3: Cross multiply
    16,082.16x = 35,436.38 × 35,436.38
  4. Step 4: Simplify right side
    16,082.16x = 1,255,736,673.14
  5. Step 5: Solve for x
    x = 1,255,736,673.14/16,082.16
  6. Step 6: Final answer
    x = 78,082.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.