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Finding the Third Proportional to 44,380 and 67,483

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Solution

The third proportional to 44,380 and 67,483 is: 102,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,380 : 67,483 = 67,483 : x
  2. Step 2: Convert to fraction form
    44,380/67,483 = 67,483/x
  3. Step 3: Cross multiply
    44,380x = 67,483 × 67,483
  4. Step 4: Simplify right side
    44,380x = 4,553,955,289
  5. Step 5: Solve for x
    x = 4,553,955,289/44,380
  6. Step 6: Final answer
    x = 102,612.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.