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Finding the Third Proportional to 44,414 and 57,623

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Solution

The third proportional to 44,414 and 57,623 is: 74,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,414 : 57,623 = 57,623 : x
  2. Step 2: Convert to fraction form
    44,414/57,623 = 57,623/x
  3. Step 3: Cross multiply
    44,414x = 57,623 × 57,623
  4. Step 4: Simplify right side
    44,414x = 3,320,410,129
  5. Step 5: Solve for x
    x = 3,320,410,129/44,414
  6. Step 6: Final answer
    x = 74,760.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.