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Finding the Third Proportional to 4,400.89 and 9,785.71

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Solution

The third proportional to 4,400.89 and 9,785.71 is: 21,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.89 : 9,785.71 = 9,785.71 : x
  2. Step 2: Convert to fraction form
    4,400.89/9,785.71 = 9,785.71/x
  3. Step 3: Cross multiply
    4,400.89x = 9,785.71 × 9,785.71
  4. Step 4: Simplify right side
    4,400.89x = 95,760,062.10
  5. Step 5: Solve for x
    x = 95,760,062.10/4,400.89
  6. Step 6: Final answer
    x = 21,759.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.