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Finding the Third Proportional to 10,010.25 and 13,884.75

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Solution

The third proportional to 10,010.25 and 13,884.75 is: 19,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.25 : 13,884.75 = 13,884.75 : x
  2. Step 2: Convert to fraction form
    10,010.25/13,884.75 = 13,884.75/x
  3. Step 3: Cross multiply
    10,010.25x = 13,884.75 × 13,884.75
  4. Step 4: Simplify right side
    10,010.25x = 192,786,282.56
  5. Step 5: Solve for x
    x = 192,786,282.56/10,010.25
  6. Step 6: Final answer
    x = 19,258.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.