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Finding the Third Proportional to 4,044 and 6,644

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Solution

The third proportional to 4,044 and 6,644 is: 10,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044 : 6,644 = 6,644 : x
  2. Step 2: Convert to fraction form
    4,044/6,644 = 6,644/x
  3. Step 3: Cross multiply
    4,044x = 6,644 × 6,644
  4. Step 4: Simplify right side
    4,044x = 44,142,736
  5. Step 5: Solve for x
    x = 44,142,736/4,044
  6. Step 6: Final answer
    x = 10,915.61

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.