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Finding the Third Proportional to 34,826 and 48,935.50

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Solution

The third proportional to 34,826 and 48,935.50 is: 68,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,826 : 48,935.50 = 48,935.50 : x
  2. Step 2: Convert to fraction form
    34,826/48,935.50 = 48,935.50/x
  3. Step 3: Cross multiply
    34,826x = 48,935.50 × 48,935.50
  4. Step 4: Simplify right side
    34,826x = 2,394,683,160.25
  5. Step 5: Solve for x
    x = 2,394,683,160.25/34,826
  6. Step 6: Final answer
    x = 68,761.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.