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Finding the Third Proportional to 16,277.84 and 34,555.36

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Solution

The third proportional to 16,277.84 and 34,555.36 is: 73,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.84 : 34,555.36 = 34,555.36 : x
  2. Step 2: Convert to fraction form
    16,277.84/34,555.36 = 34,555.36/x
  3. Step 3: Cross multiply
    16,277.84x = 34,555.36 × 34,555.36
  4. Step 4: Simplify right side
    16,277.84x = 1,194,072,861.54
  5. Step 5: Solve for x
    x = 1,194,072,861.54/16,277.84
  6. Step 6: Final answer
    x = 73,355.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.