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Finding the Third Proportional to 11,857.25 and 17,173.75

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Solution

The third proportional to 11,857.25 and 17,173.75 is: 24,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.25 : 17,173.75 = 17,173.75 : x
  2. Step 2: Convert to fraction form
    11,857.25/17,173.75 = 17,173.75/x
  3. Step 3: Cross multiply
    11,857.25x = 17,173.75 × 17,173.75
  4. Step 4: Simplify right side
    11,857.25x = 294,937,689.06
  5. Step 5: Solve for x
    x = 294,937,689.06/11,857.25
  6. Step 6: Final answer
    x = 24,874.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.