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Finding the Third Proportional to 8,892.25 and 19,667.75

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Solution

The third proportional to 8,892.25 and 19,667.75 is: 43,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.25 : 19,667.75 = 19,667.75 : x
  2. Step 2: Convert to fraction form
    8,892.25/19,667.75 = 19,667.75/x
  3. Step 3: Cross multiply
    8,892.25x = 19,667.75 × 19,667.75
  4. Step 4: Simplify right side
    8,892.25x = 386,820,390.06
  5. Step 5: Solve for x
    x = 386,820,390.06/8,892.25
  6. Step 6: Final answer
    x = 43,500.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.