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Finding the Third Proportional to 8,179.73 and 12,973.29

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Solution

The third proportional to 8,179.73 and 12,973.29 is: 20,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.73 : 12,973.29 = 12,973.29 : x
  2. Step 2: Convert to fraction form
    8,179.73/12,973.29 = 12,973.29/x
  3. Step 3: Cross multiply
    8,179.73x = 12,973.29 × 12,973.29
  4. Step 4: Simplify right side
    8,179.73x = 168,306,229.10
  5. Step 5: Solve for x
    x = 168,306,229.10/8,179.73
  6. Step 6: Final answer
    x = 20,576.00

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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.