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Finding the Third Proportional to 12,912 and 19,404

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Solution

The third proportional to 12,912 and 19,404 is: 29,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 19,404 = 19,404 : x
  2. Step 2: Convert to fraction form
    12,912/19,404 = 19,404/x
  3. Step 3: Cross multiply
    12,912x = 19,404 × 19,404
  4. Step 4: Simplify right side
    12,912x = 376,515,216
  5. Step 5: Solve for x
    x = 376,515,216/12,912
  6. Step 6: Final answer
    x = 29,160.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.