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Finding the Third Proportional to 8,933 and 19,617.75

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Solution

The third proportional to 8,933 and 19,617.75 is: 43,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933 : 19,617.75 = 19,617.75 : x
  2. Step 2: Convert to fraction form
    8,933/19,617.75 = 19,617.75/x
  3. Step 3: Cross multiply
    8,933x = 19,617.75 × 19,617.75
  4. Step 4: Simplify right side
    8,933x = 384,856,115.06
  5. Step 5: Solve for x
    x = 384,856,115.06/8,933
  6. Step 6: Final answer
    x = 43,082.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.