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Finding the Third Proportional to 5,999.06 and 8,832.38

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Solution

The third proportional to 5,999.06 and 8,832.38 is: 13,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 8,832.38 = 8,832.38 : x
  2. Step 2: Convert to fraction form
    5,999.06/8,832.38 = 8,832.38/x
  3. Step 3: Cross multiply
    5,999.06x = 8,832.38 × 8,832.38
  4. Step 4: Simplify right side
    5,999.06x = 78,010,848.14
  5. Step 5: Solve for x
    x = 78,010,848.14/5,999.06
  6. Step 6: Final answer
    x = 13,003.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.