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Finding the Third Proportional to 5,999.06 and 12,870.56

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Solution

The third proportional to 5,999.06 and 12,870.56 is: 27,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 12,870.56 = 12,870.56 : x
  2. Step 2: Convert to fraction form
    5,999.06/12,870.56 = 12,870.56/x
  3. Step 3: Cross multiply
    5,999.06x = 12,870.56 × 12,870.56
  4. Step 4: Simplify right side
    5,999.06x = 165,651,379.07
  5. Step 5: Solve for x
    x = 165,651,379.07/5,999.06
  6. Step 6: Final answer
    x = 27,612.88

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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.