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Finding the Third Proportional to 44,366 and 67,011

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Solution

The third proportional to 44,366 and 67,011 is: 101,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,366 : 67,011 = 67,011 : x
  2. Step 2: Convert to fraction form
    44,366/67,011 = 67,011/x
  3. Step 3: Cross multiply
    44,366x = 67,011 × 67,011
  4. Step 4: Simplify right side
    44,366x = 4,490,474,121
  5. Step 5: Solve for x
    x = 4,490,474,121/44,366
  6. Step 6: Final answer
    x = 101,214.31

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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.