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Finding the Third Proportional to 12,954 and 19,531

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Solution

The third proportional to 12,954 and 19,531 is: 29,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954 : 19,531 = 19,531 : x
  2. Step 2: Convert to fraction form
    12,954/19,531 = 19,531/x
  3. Step 3: Cross multiply
    12,954x = 19,531 × 19,531
  4. Step 4: Simplify right side
    12,954x = 381,459,961
  5. Step 5: Solve for x
    x = 381,459,961/12,954
  6. Step 6: Final answer
    x = 29,447.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.