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Finding the Third Proportional to 36,784.13 and 49,678.31

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Solution

The third proportional to 36,784.13 and 49,678.31 is: 67,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.13 : 49,678.31 = 49,678.31 : x
  2. Step 2: Convert to fraction form
    36,784.13/49,678.31 = 49,678.31/x
  3. Step 3: Cross multiply
    36,784.13x = 49,678.31 × 49,678.31
  4. Step 4: Simplify right side
    36,784.13x = 2,467,934,732.85
  5. Step 5: Solve for x
    x = 2,467,934,732.85/36,784.13
  6. Step 6: Final answer
    x = 67,092.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.