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Finding the Third Proportional to 2,712.23 and 4,826.46

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Solution

The third proportional to 2,712.23 and 4,826.46 is: 8,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.23 : 4,826.46 = 4,826.46 : x
  2. Step 2: Convert to fraction form
    2,712.23/4,826.46 = 4,826.46/x
  3. Step 3: Cross multiply
    2,712.23x = 4,826.46 × 4,826.46
  4. Step 4: Simplify right side
    2,712.23x = 23,294,725.18
  5. Step 5: Solve for x
    x = 23,294,725.18/2,712.23
  6. Step 6: Final answer
    x = 8,588.76

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.