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Finding the Third Proportional to 26,907 and 55,002

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Solution

The third proportional to 26,907 and 55,002 is: 112,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907 : 55,002 = 55,002 : x
  2. Step 2: Convert to fraction form
    26,907/55,002 = 55,002/x
  3. Step 3: Cross multiply
    26,907x = 55,002 × 55,002
  4. Step 4: Simplify right side
    26,907x = 3,025,220,004
  5. Step 5: Solve for x
    x = 3,025,220,004/26,907
  6. Step 6: Final answer
    x = 112,432.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.