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Finding the Third Proportional to 4,489.88 and 9,785.25

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Solution

The third proportional to 4,489.88 and 9,785.25 is: 21,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.88 : 9,785.25 = 9,785.25 : x
  2. Step 2: Convert to fraction form
    4,489.88/9,785.25 = 9,785.25/x
  3. Step 3: Cross multiply
    4,489.88x = 9,785.25 × 9,785.25
  4. Step 4: Simplify right side
    4,489.88x = 95,751,117.56
  5. Step 5: Solve for x
    x = 95,751,117.56/4,489.88
  6. Step 6: Final answer
    x = 21,326.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.