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Finding the Third Proportional to 36,493 and 78,613

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Solution

The third proportional to 36,493 and 78,613 is: 169,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493 : 78,613 = 78,613 : x
  2. Step 2: Convert to fraction form
    36,493/78,613 = 78,613/x
  3. Step 3: Cross multiply
    36,493x = 78,613 × 78,613
  4. Step 4: Simplify right side
    36,493x = 6,180,003,769
  5. Step 5: Solve for x
    x = 6,180,003,769/36,493
  6. Step 6: Final answer
    x = 169,347.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.