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Finding the Third Proportional to 2,411.44 and 4,564.69

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Solution

The third proportional to 2,411.44 and 4,564.69 is: 8,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.44 : 4,564.69 = 4,564.69 : x
  2. Step 2: Convert to fraction form
    2,411.44/4,564.69 = 4,564.69/x
  3. Step 3: Cross multiply
    2,411.44x = 4,564.69 × 4,564.69
  4. Step 4: Simplify right side
    2,411.44x = 20,836,371.97
  5. Step 5: Solve for x
    x = 20,836,371.97/2,411.44
  6. Step 6: Final answer
    x = 8,640.64

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.