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Finding the Third Proportional to 38,042 and 83,859

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Solution

The third proportional to 38,042 and 83,859 is: 184,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 83,859 = 83,859 : x
  2. Step 2: Convert to fraction form
    38,042/83,859 = 83,859/x
  3. Step 3: Cross multiply
    38,042x = 83,859 × 83,859
  4. Step 4: Simplify right side
    38,042x = 7,032,331,881
  5. Step 5: Solve for x
    x = 7,032,331,881/38,042
  6. Step 6: Final answer
    x = 184,857.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.