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Finding the Third Proportional to 1,444.50 and 3,399.47

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Solution

The third proportional to 1,444.50 and 3,399.47 is: 8,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.50 : 3,399.47 = 3,399.47 : x
  2. Step 2: Convert to fraction form
    1,444.50/3,399.47 = 3,399.47/x
  3. Step 3: Cross multiply
    1,444.50x = 3,399.47 × 3,399.47
  4. Step 4: Simplify right side
    1,444.50x = 11,556,387.78
  5. Step 5: Solve for x
    x = 11,556,387.78/1,444.50
  6. Step 6: Final answer
    x = 8,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.