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Finding the Third Proportional to 34,153.31 and 50,878.97

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Solution

The third proportional to 34,153.31 and 50,878.97 is: 75,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.31 : 50,878.97 = 50,878.97 : x
  2. Step 2: Convert to fraction form
    34,153.31/50,878.97 = 50,878.97/x
  3. Step 3: Cross multiply
    34,153.31x = 50,878.97 × 50,878.97
  4. Step 4: Simplify right side
    34,153.31x = 2,588,669,461.06
  5. Step 5: Solve for x
    x = 2,588,669,461.06/34,153.31
  6. Step 6: Final answer
    x = 75,795.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.