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Finding the Third Proportional to 2,264.84 and 4,989.41

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Solution

The third proportional to 2,264.84 and 4,989.41 is: 10,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.84 : 4,989.41 = 4,989.41 : x
  2. Step 2: Convert to fraction form
    2,264.84/4,989.41 = 4,989.41/x
  3. Step 3: Cross multiply
    2,264.84x = 4,989.41 × 4,989.41
  4. Step 4: Simplify right side
    2,264.84x = 24,894,213.71
  5. Step 5: Solve for x
    x = 24,894,213.71/2,264.84
  6. Step 6: Final answer
    x = 10,991.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.