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Finding the Third Proportional to 2,214.84 and 4,773.09

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Solution

The third proportional to 2,214.84 and 4,773.09 is: 10,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.84 : 4,773.09 = 4,773.09 : x
  2. Step 2: Convert to fraction form
    2,214.84/4,773.09 = 4,773.09/x
  3. Step 3: Cross multiply
    2,214.84x = 4,773.09 × 4,773.09
  4. Step 4: Simplify right side
    2,214.84x = 22,782,423.95
  5. Step 5: Solve for x
    x = 22,782,423.95/2,214.84
  6. Step 6: Final answer
    x = 10,286.24

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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.