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Finding the Third Proportional to 36,487.13 and 77,682.38

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Solution

The third proportional to 36,487.13 and 77,682.38 is: 165,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,487.13 : 77,682.38 = 77,682.38 : x
  2. Step 2: Convert to fraction form
    36,487.13/77,682.38 = 77,682.38/x
  3. Step 3: Cross multiply
    36,487.13x = 77,682.38 × 77,682.38
  4. Step 4: Simplify right side
    36,487.13x = 6,034,551,385.64
  5. Step 5: Solve for x
    x = 6,034,551,385.64/36,487.13
  6. Step 6: Final answer
    x = 165,388.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.