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Finding the Third Proportional to 17,869.50 and 29,983.50

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Solution

The third proportional to 17,869.50 and 29,983.50 is: 50,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.50 : 29,983.50 = 29,983.50 : x
  2. Step 2: Convert to fraction form
    17,869.50/29,983.50 = 29,983.50/x
  3. Step 3: Cross multiply
    17,869.50x = 29,983.50 × 29,983.50
  4. Step 4: Simplify right side
    17,869.50x = 899,010,272.25
  5. Step 5: Solve for x
    x = 899,010,272.25/17,869.50
  6. Step 6: Final answer
    x = 50,309.76

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.