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Finding the Third Proportional to 13,650.75 and 22,587.75

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Solution

The third proportional to 13,650.75 and 22,587.75 is: 37,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.75 : 22,587.75 = 22,587.75 : x
  2. Step 2: Convert to fraction form
    13,650.75/22,587.75 = 22,587.75/x
  3. Step 3: Cross multiply
    13,650.75x = 22,587.75 × 22,587.75
  4. Step 4: Simplify right side
    13,650.75x = 510,206,450.06
  5. Step 5: Solve for x
    x = 510,206,450.06/13,650.75
  6. Step 6: Final answer
    x = 37,375.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.