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Finding the Third Proportional to 10,671.75 and 13,969.13

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Solution

The third proportional to 10,671.75 and 13,969.13 is: 18,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 13,969.13 = 13,969.13 : x
  2. Step 2: Convert to fraction form
    10,671.75/13,969.13 = 13,969.13/x
  3. Step 3: Cross multiply
    10,671.75x = 13,969.13 × 13,969.13
  4. Step 4: Simplify right side
    10,671.75x = 195,136,453.27
  5. Step 5: Solve for x
    x = 195,136,453.27/10,671.75
  6. Step 6: Final answer
    x = 18,285.33

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.