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Finding the Third Proportional to 44,644 and 67,544

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Solution

The third proportional to 44,644 and 67,544 is: 102,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,644 : 67,544 = 67,544 : x
  2. Step 2: Convert to fraction form
    44,644/67,544 = 67,544/x
  3. Step 3: Cross multiply
    44,644x = 67,544 × 67,544
  4. Step 4: Simplify right side
    44,644x = 4,562,191,936
  5. Step 5: Solve for x
    x = 4,562,191,936/44,644
  6. Step 6: Final answer
    x = 102,190.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.