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Finding the Third Proportional to 2,983.50 and 6,511.50

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Solution

The third proportional to 2,983.50 and 6,511.50 is: 14,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.50 : 6,511.50 = 6,511.50 : x
  2. Step 2: Convert to fraction form
    2,983.50/6,511.50 = 6,511.50/x
  3. Step 3: Cross multiply
    2,983.50x = 6,511.50 × 6,511.50
  4. Step 4: Simplify right side
    2,983.50x = 42,399,632.25
  5. Step 5: Solve for x
    x = 42,399,632.25/2,983.50
  6. Step 6: Final answer
    x = 14,211.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.