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Finding the Third Proportional to 13,671.75 and 17,952.38

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Solution

The third proportional to 13,671.75 and 17,952.38 is: 23,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.75 : 17,952.38 = 17,952.38 : x
  2. Step 2: Convert to fraction form
    13,671.75/17,952.38 = 17,952.38/x
  3. Step 3: Cross multiply
    13,671.75x = 17,952.38 × 17,952.38
  4. Step 4: Simplify right side
    13,671.75x = 322,287,768.14
  5. Step 5: Solve for x
    x = 322,287,768.14/13,671.75
  6. Step 6: Final answer
    x = 23,573.26

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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.