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Finding the Third Proportional to 4,572.28 and 9,826.73

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Solution

The third proportional to 4,572.28 and 9,826.73 is: 21,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.28 : 9,826.73 = 9,826.73 : x
  2. Step 2: Convert to fraction form
    4,572.28/9,826.73 = 9,826.73/x
  3. Step 3: Cross multiply
    4,572.28x = 9,826.73 × 9,826.73
  4. Step 4: Simplify right side
    4,572.28x = 96,564,708.48
  5. Step 5: Solve for x
    x = 96,564,708.48/4,572.28
  6. Step 6: Final answer
    x = 21,119.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.