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Finding the Third Proportional to 26,996 and 56,926

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Solution

The third proportional to 26,996 and 56,926 is: 120,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,996 : 56,926 = 56,926 : x
  2. Step 2: Convert to fraction form
    26,996/56,926 = 56,926/x
  3. Step 3: Cross multiply
    26,996x = 56,926 × 56,926
  4. Step 4: Simplify right side
    26,996x = 3,240,569,476
  5. Step 5: Solve for x
    x = 3,240,569,476/26,996
  6. Step 6: Final answer
    x = 120,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.