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Finding the Third Proportional to 48,876.75 and 68,212.13

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Solution

The third proportional to 48,876.75 and 68,212.13 is: 95,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,876.75 : 68,212.13 = 68,212.13 : x
  2. Step 2: Convert to fraction form
    48,876.75/68,212.13 = 68,212.13/x
  3. Step 3: Cross multiply
    48,876.75x = 68,212.13 × 68,212.13
  4. Step 4: Simplify right side
    48,876.75x = 4,652,893,997.02
  5. Step 5: Solve for x
    x = 4,652,893,997.02/48,876.75
  6. Step 6: Final answer
    x = 95,196.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.