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Finding the Third Proportional to 3,262.69 and 6,001.31

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Solution

The third proportional to 3,262.69 and 6,001.31 is: 11,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.69 : 6,001.31 = 6,001.31 : x
  2. Step 2: Convert to fraction form
    3,262.69/6,001.31 = 6,001.31/x
  3. Step 3: Cross multiply
    3,262.69x = 6,001.31 × 6,001.31
  4. Step 4: Simplify right side
    3,262.69x = 36,015,751.72
  5. Step 5: Solve for x
    x = 36,015,751.72/3,262.69
  6. Step 6: Final answer
    x = 11,038.68

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.