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Finding the Third Proportional to 48,863.25 and 76,215.38

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Solution

The third proportional to 48,863.25 and 76,215.38 is: 118,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,863.25 : 76,215.38 = 76,215.38 : x
  2. Step 2: Convert to fraction form
    48,863.25/76,215.38 = 76,215.38/x
  3. Step 3: Cross multiply
    48,863.25x = 76,215.38 × 76,215.38
  4. Step 4: Simplify right side
    48,863.25x = 5,808,783,386.39
  5. Step 5: Solve for x
    x = 5,808,783,386.39/48,863.25
  6. Step 6: Final answer
    x = 118,878.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.