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Finding the Third Proportional to 12,821.06 and 19,402.31

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Solution

The third proportional to 12,821.06 and 19,402.31 is: 29,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.06 : 19,402.31 = 19,402.31 : x
  2. Step 2: Convert to fraction form
    12,821.06/19,402.31 = 19,402.31/x
  3. Step 3: Cross multiply
    12,821.06x = 19,402.31 × 19,402.31
  4. Step 4: Simplify right side
    12,821.06x = 376,449,730.35
  5. Step 5: Solve for x
    x = 376,449,730.35/12,821.06
  6. Step 6: Final answer
    x = 29,361.82

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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.