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Finding the Third Proportional to 4,077 and 5,999.63

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Solution

The third proportional to 4,077 and 5,999.63 is: 8,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 5,999.63 = 5,999.63 : x
  2. Step 2: Convert to fraction form
    4,077/5,999.63 = 5,999.63/x
  3. Step 3: Cross multiply
    4,077x = 5,999.63 × 5,999.63
  4. Step 4: Simplify right side
    4,077x = 35,995,500.14
  5. Step 5: Solve for x
    x = 35,995,500.14/4,077
  6. Step 6: Final answer
    x = 8,828.92

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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.