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Finding the Third Proportional to 1,501.97 and 3,296.44

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Solution

The third proportional to 1,501.97 and 3,296.44 is: 7,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.97 : 3,296.44 = 3,296.44 : x
  2. Step 2: Convert to fraction form
    1,501.97/3,296.44 = 3,296.44/x
  3. Step 3: Cross multiply
    1,501.97x = 3,296.44 × 3,296.44
  4. Step 4: Simplify right side
    1,501.97x = 10,866,500.19
  5. Step 5: Solve for x
    x = 10,866,500.19/1,501.97
  6. Step 6: Final answer
    x = 7,234.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.