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Finding the Third Proportional to 7,511.27 and 16,227.11

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Solution

The third proportional to 7,511.27 and 16,227.11 is: 35,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.27 : 16,227.11 = 16,227.11 : x
  2. Step 2: Convert to fraction form
    7,511.27/16,227.11 = 16,227.11/x
  3. Step 3: Cross multiply
    7,511.27x = 16,227.11 × 16,227.11
  4. Step 4: Simplify right side
    7,511.27x = 263,318,951.89
  5. Step 5: Solve for x
    x = 263,318,951.89/7,511.27
  6. Step 6: Final answer
    x = 35,056.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.