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Finding the Third Proportional to 49,721 and 69,517.50

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Solution

The third proportional to 49,721 and 69,517.50 is: 97,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,721 : 69,517.50 = 69,517.50 : x
  2. Step 2: Convert to fraction form
    49,721/69,517.50 = 69,517.50/x
  3. Step 3: Cross multiply
    49,721x = 69,517.50 × 69,517.50
  4. Step 4: Simplify right side
    49,721x = 4,832,682,806.25
  5. Step 5: Solve for x
    x = 4,832,682,806.25/49,721
  6. Step 6: Final answer
    x = 97,196.01

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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.