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Finding the Third Proportional to 45,453.75 and 65,067

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Solution

The third proportional to 45,453.75 and 65,067 is: 93,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,453.75 : 65,067 = 65,067 : x
  2. Step 2: Convert to fraction form
    45,453.75/65,067 = 65,067/x
  3. Step 3: Cross multiply
    45,453.75x = 65,067 × 65,067
  4. Step 4: Simplify right side
    45,453.75x = 4,233,714,489
  5. Step 5: Solve for x
    x = 4,233,714,489/45,453.75
  6. Step 6: Final answer
    x = 93,143.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.