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Finding the Third Proportional to 9,188 and 20,087

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Solution

The third proportional to 9,188 and 20,087 is: 43,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188 : 20,087 = 20,087 : x
  2. Step 2: Convert to fraction form
    9,188/20,087 = 20,087/x
  3. Step 3: Cross multiply
    9,188x = 20,087 × 20,087
  4. Step 4: Simplify right side
    9,188x = 403,487,569
  5. Step 5: Solve for x
    x = 403,487,569/9,188
  6. Step 6: Final answer
    x = 43,914.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.