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Finding the Third Proportional to 2,249.65 and 4,909.36

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Solution

The third proportional to 2,249.65 and 4,909.36 is: 10,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.65 : 4,909.36 = 4,909.36 : x
  2. Step 2: Convert to fraction form
    2,249.65/4,909.36 = 4,909.36/x
  3. Step 3: Cross multiply
    2,249.65x = 4,909.36 × 4,909.36
  4. Step 4: Simplify right side
    2,249.65x = 24,101,809.47
  5. Step 5: Solve for x
    x = 24,101,809.47/2,249.65
  6. Step 6: Final answer
    x = 10,713.59

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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.