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Finding the Third Proportional to 15,005.06 and 32,234.06

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Solution

The third proportional to 15,005.06 and 32,234.06 is: 69,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.06 : 32,234.06 = 32,234.06 : x
  2. Step 2: Convert to fraction form
    15,005.06/32,234.06 = 32,234.06/x
  3. Step 3: Cross multiply
    15,005.06x = 32,234.06 × 32,234.06
  4. Step 4: Simplify right side
    15,005.06x = 1,039,034,785.25
  5. Step 5: Solve for x
    x = 1,039,034,785.25/15,005.06
  6. Step 6: Final answer
    x = 69,245.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.