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Finding the Third Proportional to 4,267.69 and 6,431.91

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Solution

The third proportional to 4,267.69 and 6,431.91 is: 9,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.69 : 6,431.91 = 6,431.91 : x
  2. Step 2: Convert to fraction form
    4,267.69/6,431.91 = 6,431.91/x
  3. Step 3: Cross multiply
    4,267.69x = 6,431.91 × 6,431.91
  4. Step 4: Simplify right side
    4,267.69x = 41,369,418.01
  5. Step 5: Solve for x
    x = 41,369,418.01/4,267.69
  6. Step 6: Final answer
    x = 9,693.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.