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Finding the Third Proportional to 26,880 and 56,994

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Solution

The third proportional to 26,880 and 56,994 is: 120,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 56,994 = 56,994 : x
  2. Step 2: Convert to fraction form
    26,880/56,994 = 56,994/x
  3. Step 3: Cross multiply
    26,880x = 56,994 × 56,994
  4. Step 4: Simplify right side
    26,880x = 3,248,316,036
  5. Step 5: Solve for x
    x = 3,248,316,036/26,880
  6. Step 6: Final answer
    x = 120,845.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.