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Finding the Third Proportional to 2,199.66 and 4,579.03

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Solution

The third proportional to 2,199.66 and 4,579.03 is: 9,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.66 : 4,579.03 = 4,579.03 : x
  2. Step 2: Convert to fraction form
    2,199.66/4,579.03 = 4,579.03/x
  3. Step 3: Cross multiply
    2,199.66x = 4,579.03 × 4,579.03
  4. Step 4: Simplify right side
    2,199.66x = 20,967,527.19
  5. Step 5: Solve for x
    x = 20,967,527.19/2,199.66
  6. Step 6: Final answer
    x = 9,532.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.