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Finding the Third Proportional to 44,021 and 65,872

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Solution

The third proportional to 44,021 and 65,872 is: 98,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,021 : 65,872 = 65,872 : x
  2. Step 2: Convert to fraction form
    44,021/65,872 = 65,872/x
  3. Step 3: Cross multiply
    44,021x = 65,872 × 65,872
  4. Step 4: Simplify right side
    44,021x = 4,339,120,384
  5. Step 5: Solve for x
    x = 4,339,120,384/44,021
  6. Step 6: Final answer
    x = 98,569.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.