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Finding the Third Proportional to 11,593.50 and 17,335.50

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Solution

The third proportional to 11,593.50 and 17,335.50 is: 25,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.50 : 17,335.50 = 17,335.50 : x
  2. Step 2: Convert to fraction form
    11,593.50/17,335.50 = 17,335.50/x
  3. Step 3: Cross multiply
    11,593.50x = 17,335.50 × 17,335.50
  4. Step 4: Simplify right side
    11,593.50x = 300,519,560.25
  5. Step 5: Solve for x
    x = 300,519,560.25/11,593.50
  6. Step 6: Final answer
    x = 25,921.38

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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.