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Finding the Third Proportional to 2,209 and 4,782

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Solution

The third proportional to 2,209 and 4,782 is: 10,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 4,782 = 4,782 : x
  2. Step 2: Convert to fraction form
    2,209/4,782 = 4,782/x
  3. Step 3: Cross multiply
    2,209x = 4,782 × 4,782
  4. Step 4: Simplify right side
    2,209x = 22,867,524
  5. Step 5: Solve for x
    x = 22,867,524/2,209
  6. Step 6: Final answer
    x = 10,351.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.