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Finding the Third Proportional to 47,568 and 73,896

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Solution

The third proportional to 47,568 and 73,896 is: 114,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,568 : 73,896 = 73,896 : x
  2. Step 2: Convert to fraction form
    47,568/73,896 = 73,896/x
  3. Step 3: Cross multiply
    47,568x = 73,896 × 73,896
  4. Step 4: Simplify right side
    47,568x = 5,460,618,816
  5. Step 5: Solve for x
    x = 5,460,618,816/47,568
  6. Step 6: Final answer
    x = 114,796.06

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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.