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Finding the Third Proportional to 11,703.75 and 17,537.25

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Solution

The third proportional to 11,703.75 and 17,537.25 is: 26,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.75 : 17,537.25 = 17,537.25 : x
  2. Step 2: Convert to fraction form
    11,703.75/17,537.25 = 17,537.25/x
  3. Step 3: Cross multiply
    11,703.75x = 17,537.25 × 17,537.25
  4. Step 4: Simplify right side
    11,703.75x = 307,555,137.56
  5. Step 5: Solve for x
    x = 307,555,137.56/11,703.75
  6. Step 6: Final answer
    x = 26,278.34

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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.