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Finding the Third Proportional to 5,401.05 and 12,511.65

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Solution

The third proportional to 5,401.05 and 12,511.65 is: 28,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.05 : 12,511.65 = 12,511.65 : x
  2. Step 2: Convert to fraction form
    5,401.05/12,511.65 = 12,511.65/x
  3. Step 3: Cross multiply
    5,401.05x = 12,511.65 × 12,511.65
  4. Step 4: Simplify right side
    5,401.05x = 156,541,444.37
  5. Step 5: Solve for x
    x = 156,541,444.37/5,401.05
  6. Step 6: Final answer
    x = 28,983.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.