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Finding the Third Proportional to 2,812.69 and 6,511.59

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Solution

The third proportional to 2,812.69 and 6,511.59 is: 15,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.69 : 6,511.59 = 6,511.59 : x
  2. Step 2: Convert to fraction form
    2,812.69/6,511.59 = 6,511.59/x
  3. Step 3: Cross multiply
    2,812.69x = 6,511.59 × 6,511.59
  4. Step 4: Simplify right side
    2,812.69x = 42,400,853.17
  5. Step 5: Solve for x
    x = 42,400,853.17/2,812.69
  6. Step 6: Final answer
    x = 15,074.85

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Why These Related Problems?

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