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Finding the Third Proportional to 11,943.07 and 17,911.76

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Solution

The third proportional to 11,943.07 and 17,911.76 is: 26,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.07 : 17,911.76 = 17,911.76 : x
  2. Step 2: Convert to fraction form
    11,943.07/17,911.76 = 17,911.76/x
  3. Step 3: Cross multiply
    11,943.07x = 17,911.76 × 17,911.76
  4. Step 4: Simplify right side
    11,943.07x = 320,831,067.93
  5. Step 5: Solve for x
    x = 320,831,067.93/11,943.07
  6. Step 6: Final answer
    x = 26,863.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.