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Finding the Third Proportional to 49,232.81 and 76,380.47

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Solution

The third proportional to 49,232.81 and 76,380.47 is: 118,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232.81 : 76,380.47 = 76,380.47 : x
  2. Step 2: Convert to fraction form
    49,232.81/76,380.47 = 76,380.47/x
  3. Step 3: Cross multiply
    49,232.81x = 76,380.47 × 76,380.47
  4. Step 4: Simplify right side
    49,232.81x = 5,833,976,006.47
  5. Step 5: Solve for x
    x = 5,833,976,006.47/49,232.81
  6. Step 6: Final answer
    x = 118,497.72

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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.