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Finding the Third Proportional to 6,424 and 7,044

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Solution

The third proportional to 6,424 and 7,044 is: 7,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 7,044 = 7,044 : x
  2. Step 2: Convert to fraction form
    6,424/7,044 = 7,044/x
  3. Step 3: Cross multiply
    6,424x = 7,044 × 7,044
  4. Step 4: Simplify right side
    6,424x = 49,617,936
  5. Step 5: Solve for x
    x = 49,617,936/6,424
  6. Step 6: Final answer
    x = 7,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.