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Finding the Third Proportional to 2,201.77 and 4,827.73

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Solution

The third proportional to 2,201.77 and 4,827.73 is: 10,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.77 : 4,827.73 = 4,827.73 : x
  2. Step 2: Convert to fraction form
    2,201.77/4,827.73 = 4,827.73/x
  3. Step 3: Cross multiply
    2,201.77x = 4,827.73 × 4,827.73
  4. Step 4: Simplify right side
    2,201.77x = 23,306,943.76
  5. Step 5: Solve for x
    x = 23,306,943.76/2,201.77
  6. Step 6: Final answer
    x = 10,585.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.