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Finding the Third Proportional to 49,785 and 73,692

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Solution

The third proportional to 49,785 and 73,692 is: 109,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785 : 73,692 = 73,692 : x
  2. Step 2: Convert to fraction form
    49,785/73,692 = 73,692/x
  3. Step 3: Cross multiply
    49,785x = 73,692 × 73,692
  4. Step 4: Simplify right side
    49,785x = 5,430,510,864
  5. Step 5: Solve for x
    x = 5,430,510,864/49,785
  6. Step 6: Final answer
    x = 109,079.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.