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Finding the Third Proportional to 2,193.96 and 4,826.46

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Solution

The third proportional to 2,193.96 and 4,826.46 is: 10,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.96 : 4,826.46 = 4,826.46 : x
  2. Step 2: Convert to fraction form
    2,193.96/4,826.46 = 4,826.46/x
  3. Step 3: Cross multiply
    2,193.96x = 4,826.46 × 4,826.46
  4. Step 4: Simplify right side
    2,193.96x = 23,294,725.18
  5. Step 5: Solve for x
    x = 23,294,725.18/2,193.96
  6. Step 6: Final answer
    x = 10,617.66

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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.