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Finding the Third Proportional to 13,744.69 and 21,009.38

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Solution

The third proportional to 13,744.69 and 21,009.38 is: 32,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 21,009.38 = 21,009.38 : x
  2. Step 2: Convert to fraction form
    13,744.69/21,009.38 = 21,009.38/x
  3. Step 3: Cross multiply
    13,744.69x = 21,009.38 × 21,009.38
  4. Step 4: Simplify right side
    13,744.69x = 441,393,837.89
  5. Step 5: Solve for x
    x = 441,393,837.89/13,744.69
  6. Step 6: Final answer
    x = 32,113.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.