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Finding the Third Proportional to 8,624.56 and 12,979.63

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Solution

The third proportional to 8,624.56 and 12,979.63 is: 19,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.56 : 12,979.63 = 12,979.63 : x
  2. Step 2: Convert to fraction form
    8,624.56/12,979.63 = 12,979.63/x
  3. Step 3: Cross multiply
    8,624.56x = 12,979.63 × 12,979.63
  4. Step 4: Simplify right side
    8,624.56x = 168,470,665.14
  5. Step 5: Solve for x
    x = 168,470,665.14/8,624.56
  6. Step 6: Final answer
    x = 19,533.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.