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Finding the Third Proportional to 2,022.68 and 4,369.99

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Solution

The third proportional to 2,022.68 and 4,369.99 is: 9,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.68 : 4,369.99 = 4,369.99 : x
  2. Step 2: Convert to fraction form
    2,022.68/4,369.99 = 4,369.99/x
  3. Step 3: Cross multiply
    2,022.68x = 4,369.99 × 4,369.99
  4. Step 4: Simplify right side
    2,022.68x = 19,096,831.72
  5. Step 5: Solve for x
    x = 19,096,831.72/2,022.68
  6. Step 6: Final answer
    x = 9,441.35

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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.