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Finding the Third Proportional to 8,153 and 17,181.75

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Solution

The third proportional to 8,153 and 17,181.75 is: 36,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153 : 17,181.75 = 17,181.75 : x
  2. Step 2: Convert to fraction form
    8,153/17,181.75 = 17,181.75/x
  3. Step 3: Cross multiply
    8,153x = 17,181.75 × 17,181.75
  4. Step 4: Simplify right side
    8,153x = 295,212,533.06
  5. Step 5: Solve for x
    x = 295,212,533.06/8,153
  6. Step 6: Final answer
    x = 36,209.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.