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Finding the Third Proportional to 9,579.75 and 18,156.75

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Solution

The third proportional to 9,579.75 and 18,156.75 is: 34,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.75 : 18,156.75 = 18,156.75 : x
  2. Step 2: Convert to fraction form
    9,579.75/18,156.75 = 18,156.75/x
  3. Step 3: Cross multiply
    9,579.75x = 18,156.75 × 18,156.75
  4. Step 4: Simplify right side
    9,579.75x = 329,667,570.56
  5. Step 5: Solve for x
    x = 329,667,570.56/9,579.75
  6. Step 6: Final answer
    x = 34,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.