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Finding the Third Proportional to 16,065 and 34,811.06

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Solution

The third proportional to 16,065 and 34,811.06 is: 75,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065 : 34,811.06 = 34,811.06 : x
  2. Step 2: Convert to fraction form
    16,065/34,811.06 = 34,811.06/x
  3. Step 3: Cross multiply
    16,065x = 34,811.06 × 34,811.06
  4. Step 4: Simplify right side
    16,065x = 1,211,810,072.38
  5. Step 5: Solve for x
    x = 1,211,810,072.38/16,065
  6. Step 6: Final answer
    x = 75,431.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.