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Finding the Third Proportional to 48,899 and 73,895

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Solution

The third proportional to 48,899 and 73,895 is: 111,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899 : 73,895 = 73,895 : x
  2. Step 2: Convert to fraction form
    48,899/73,895 = 73,895/x
  3. Step 3: Cross multiply
    48,899x = 73,895 × 73,895
  4. Step 4: Simplify right side
    48,899x = 5,460,471,025
  5. Step 5: Solve for x
    x = 5,460,471,025/48,899
  6. Step 6: Final answer
    x = 111,668.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.