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Finding the Third Proportional to 49,398.75 and 76,632.38

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Solution

The third proportional to 49,398.75 and 76,632.38 is: 118,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398.75 : 76,632.38 = 76,632.38 : x
  2. Step 2: Convert to fraction form
    49,398.75/76,632.38 = 76,632.38/x
  3. Step 3: Cross multiply
    49,398.75x = 76,632.38 × 76,632.38
  4. Step 4: Simplify right side
    49,398.75x = 5,872,520,898.14
  5. Step 5: Solve for x
    x = 5,872,520,898.14/49,398.75
  6. Step 6: Final answer
    x = 118,879.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.