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Finding the Third Proportional to 11,010.75 and 16,569.38

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Solution

The third proportional to 11,010.75 and 16,569.38 is: 24,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.75 : 16,569.38 = 16,569.38 : x
  2. Step 2: Convert to fraction form
    11,010.75/16,569.38 = 16,569.38/x
  3. Step 3: Cross multiply
    11,010.75x = 16,569.38 × 16,569.38
  4. Step 4: Simplify right side
    11,010.75x = 274,544,187.89
  5. Step 5: Solve for x
    x = 274,544,187.89/11,010.75
  6. Step 6: Final answer
    x = 24,934.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.