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Finding the Third Proportional to 38,857 and 84,739

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Solution

The third proportional to 38,857 and 84,739 is: 184,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857 : 84,739 = 84,739 : x
  2. Step 2: Convert to fraction form
    38,857/84,739 = 84,739/x
  3. Step 3: Cross multiply
    38,857x = 84,739 × 84,739
  4. Step 4: Simplify right side
    38,857x = 7,180,698,121
  5. Step 5: Solve for x
    x = 7,180,698,121/38,857
  6. Step 6: Final answer
    x = 184,798.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.