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Finding the Third Proportional to 6,051.27 and 8,169.93

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Solution

The third proportional to 6,051.27 and 8,169.93 is: 11,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.27 : 8,169.93 = 8,169.93 : x
  2. Step 2: Convert to fraction form
    6,051.27/8,169.93 = 8,169.93/x
  3. Step 3: Cross multiply
    6,051.27x = 8,169.93 × 8,169.93
  4. Step 4: Simplify right side
    6,051.27x = 66,747,687.27
  5. Step 5: Solve for x
    x = 66,747,687.27/6,051.27
  6. Step 6: Final answer
    x = 11,030.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.