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Finding the Third Proportional to 8,676.38 and 12,852.56

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Solution

The third proportional to 8,676.38 and 12,852.56 is: 19,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.38 : 12,852.56 = 12,852.56 : x
  2. Step 2: Convert to fraction form
    8,676.38/12,852.56 = 12,852.56/x
  3. Step 3: Cross multiply
    8,676.38x = 12,852.56 × 12,852.56
  4. Step 4: Simplify right side
    8,676.38x = 165,188,362.82
  5. Step 5: Solve for x
    x = 165,188,362.82/8,676.38
  6. Step 6: Final answer
    x = 19,038.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.