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Finding the Third Proportional to 44,370 and 67,017

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Solution

The third proportional to 44,370 and 67,017 is: 101,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,370 : 67,017 = 67,017 : x
  2. Step 2: Convert to fraction form
    44,370/67,017 = 67,017/x
  3. Step 3: Cross multiply
    44,370x = 67,017 × 67,017
  4. Step 4: Simplify right side
    44,370x = 4,491,278,289
  5. Step 5: Solve for x
    x = 4,491,278,289/44,370
  6. Step 6: Final answer
    x = 101,223.31

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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.