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Finding the Third Proportional to 30,800 and 44,044

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Solution

The third proportional to 30,800 and 44,044 is: 62,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800 : 44,044 = 44,044 : x
  2. Step 2: Convert to fraction form
    30,800/44,044 = 44,044/x
  3. Step 3: Cross multiply
    30,800x = 44,044 × 44,044
  4. Step 4: Simplify right side
    30,800x = 1,939,873,936
  5. Step 5: Solve for x
    x = 1,939,873,936/30,800
  6. Step 6: Final answer
    x = 62,982.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.