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Finding the Third Proportional to 48,265 and 73,832

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Solution

The third proportional to 48,265 and 73,832 is: 112,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,265 : 73,832 = 73,832 : x
  2. Step 2: Convert to fraction form
    48,265/73,832 = 73,832/x
  3. Step 3: Cross multiply
    48,265x = 73,832 × 73,832
  4. Step 4: Simplify right side
    48,265x = 5,451,164,224
  5. Step 5: Solve for x
    x = 5,451,164,224/48,265
  6. Step 6: Final answer
    x = 112,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.