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Finding the Third Proportional to 11,083.50 and 23,898.38

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Solution

The third proportional to 11,083.50 and 23,898.38 is: 51,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.50 : 23,898.38 = 23,898.38 : x
  2. Step 2: Convert to fraction form
    11,083.50/23,898.38 = 23,898.38/x
  3. Step 3: Cross multiply
    11,083.50x = 23,898.38 × 23,898.38
  4. Step 4: Simplify right side
    11,083.50x = 571,132,327.64
  5. Step 5: Solve for x
    x = 571,132,327.64/11,083.50
  6. Step 6: Final answer
    x = 51,529.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.