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Finding the Third Proportional to 38,743 and 84,613

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Solution

The third proportional to 38,743 and 84,613 is: 184,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743 : 84,613 = 84,613 : x
  2. Step 2: Convert to fraction form
    38,743/84,613 = 84,613/x
  3. Step 3: Cross multiply
    38,743x = 84,613 × 84,613
  4. Step 4: Simplify right side
    38,743x = 7,159,359,769
  5. Step 5: Solve for x
    x = 7,159,359,769/38,743
  6. Step 6: Final answer
    x = 184,791.05

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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.