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Finding the Third Proportional to 49,448.25 and 76,632.75

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Solution

The third proportional to 49,448.25 and 76,632.75 is: 118,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448.25 : 76,632.75 = 76,632.75 : x
  2. Step 2: Convert to fraction form
    49,448.25/76,632.75 = 76,632.75/x
  3. Step 3: Cross multiply
    49,448.25x = 76,632.75 × 76,632.75
  4. Step 4: Simplify right side
    49,448.25x = 5,872,578,372.56
  5. Step 5: Solve for x
    x = 5,872,578,372.56/49,448.25
  6. Step 6: Final answer
    x = 118,762.11

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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.