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Finding the Third Proportional to 47,764 and 73,832

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Solution

The third proportional to 47,764 and 73,832 is: 114,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764 : 73,832 = 73,832 : x
  2. Step 2: Convert to fraction form
    47,764/73,832 = 73,832/x
  3. Step 3: Cross multiply
    47,764x = 73,832 × 73,832
  4. Step 4: Simplify right side
    47,764x = 5,451,164,224
  5. Step 5: Solve for x
    x = 5,451,164,224/47,764
  6. Step 6: Final answer
    x = 114,127.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.