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Finding the Third Proportional to 13,164.75 and 17,691.75

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Solution

The third proportional to 13,164.75 and 17,691.75 is: 23,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.75 : 17,691.75 = 17,691.75 : x
  2. Step 2: Convert to fraction form
    13,164.75/17,691.75 = 17,691.75/x
  3. Step 3: Cross multiply
    13,164.75x = 17,691.75 × 17,691.75
  4. Step 4: Simplify right side
    13,164.75x = 312,998,018.06
  5. Step 5: Solve for x
    x = 312,998,018.06/13,164.75
  6. Step 6: Final answer
    x = 23,775.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.