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Finding the Third Proportional to 2,289.94 and 4,989.94

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Solution

The third proportional to 2,289.94 and 4,989.94 is: 10,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.94 : 4,989.94 = 4,989.94 : x
  2. Step 2: Convert to fraction form
    2,289.94/4,989.94 = 4,989.94/x
  3. Step 3: Cross multiply
    2,289.94x = 4,989.94 × 4,989.94
  4. Step 4: Simplify right side
    2,289.94x = 24,899,476.25
  5. Step 5: Solve for x
    x = 24,899,476.25/2,289.94
  6. Step 6: Final answer
    x = 10,873.43

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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.