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Finding the Third Proportional to 8,081.65 and 12,088.30

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Solution

The third proportional to 8,081.65 and 12,088.30 is: 18,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.65 : 12,088.30 = 12,088.30 : x
  2. Step 2: Convert to fraction form
    8,081.65/12,088.30 = 12,088.30/x
  3. Step 3: Cross multiply
    8,081.65x = 12,088.30 × 12,088.30
  4. Step 4: Simplify right side
    8,081.65x = 146,127,015.78
  5. Step 5: Solve for x
    x = 146,127,015.78/8,081.65
  6. Step 6: Final answer
    x = 18,081.34

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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.