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Finding the Third Proportional to 12,979.41 and 20,334.09

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Solution

The third proportional to 12,979.41 and 20,334.09 is: 31,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979.41 : 20,334.09 = 20,334.09 : x
  2. Step 2: Convert to fraction form
    12,979.41/20,334.09 = 20,334.09/x
  3. Step 3: Cross multiply
    12,979.41x = 20,334.09 × 20,334.09
  4. Step 4: Simplify right side
    12,979.41x = 413,475,368.63
  5. Step 5: Solve for x
    x = 413,475,368.63/12,979.41
  6. Step 6: Final answer
    x = 31,856.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.