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Finding the Third Proportional to 4,751.79 and 9,836.75

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Solution

The third proportional to 4,751.79 and 9,836.75 is: 20,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.79 : 9,836.75 = 9,836.75 : x
  2. Step 2: Convert to fraction form
    4,751.79/9,836.75 = 9,836.75/x
  3. Step 3: Cross multiply
    4,751.79x = 9,836.75 × 9,836.75
  4. Step 4: Simplify right side
    4,751.79x = 96,761,727.41
  5. Step 5: Solve for x
    x = 96,761,727.41/4,751.79
  6. Step 6: Final answer
    x = 20,363.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.