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Finding the Third Proportional to 12,760.88 and 19,411.31

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Solution

The third proportional to 12,760.88 and 19,411.31 is: 29,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.88 : 19,411.31 = 19,411.31 : x
  2. Step 2: Convert to fraction form
    12,760.88/19,411.31 = 19,411.31/x
  3. Step 3: Cross multiply
    12,760.88x = 19,411.31 × 19,411.31
  4. Step 4: Simplify right side
    12,760.88x = 376,799,052.97
  5. Step 5: Solve for x
    x = 376,799,052.97/12,760.88
  6. Step 6: Final answer
    x = 29,527.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.