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Finding the Third Proportional to 13,945 and 30,669.75

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Solution

The third proportional to 13,945 and 30,669.75 is: 67,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945 : 30,669.75 = 30,669.75 : x
  2. Step 2: Convert to fraction form
    13,945/30,669.75 = 30,669.75/x
  3. Step 3: Cross multiply
    13,945x = 30,669.75 × 30,669.75
  4. Step 4: Simplify right side
    13,945x = 940,633,565.06
  5. Step 5: Solve for x
    x = 940,633,565.06/13,945
  6. Step 6: Final answer
    x = 67,453.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.