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Finding the Third Proportional to 2,089.38 and 4,538.75

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Solution

The third proportional to 2,089.38 and 4,538.75 is: 9,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.38 : 4,538.75 = 4,538.75 : x
  2. Step 2: Convert to fraction form
    2,089.38/4,538.75 = 4,538.75/x
  3. Step 3: Cross multiply
    2,089.38x = 4,538.75 × 4,538.75
  4. Step 4: Simplify right side
    2,089.38x = 20,600,251.56
  5. Step 5: Solve for x
    x = 20,600,251.56/2,089.38
  6. Step 6: Final answer
    x = 9,859.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.