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Finding the Third Proportional to 7,747.68 and 15,903.73

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Solution

The third proportional to 7,747.68 and 15,903.73 is: 32,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.68 : 15,903.73 = 15,903.73 : x
  2. Step 2: Convert to fraction form
    7,747.68/15,903.73 = 15,903.73/x
  3. Step 3: Cross multiply
    7,747.68x = 15,903.73 × 15,903.73
  4. Step 4: Simplify right side
    7,747.68x = 252,928,767.07
  5. Step 5: Solve for x
    x = 252,928,767.07/7,747.68
  6. Step 6: Final answer
    x = 32,645.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.