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Finding the Third Proportional to 12,997.31 and 20,660.34

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Solution

The third proportional to 12,997.31 and 20,660.34 is: 32,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.31 : 20,660.34 = 20,660.34 : x
  2. Step 2: Convert to fraction form
    12,997.31/20,660.34 = 20,660.34/x
  3. Step 3: Cross multiply
    12,997.31x = 20,660.34 × 20,660.34
  4. Step 4: Simplify right side
    12,997.31x = 426,849,803.87
  5. Step 5: Solve for x
    x = 426,849,803.87/12,997.31
  6. Step 6: Final answer
    x = 32,841.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.