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Finding the Third Proportional to 26,984 and 56,912

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Solution

The third proportional to 26,984 and 56,912 is: 120,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984 : 56,912 = 56,912 : x
  2. Step 2: Convert to fraction form
    26,984/56,912 = 56,912/x
  3. Step 3: Cross multiply
    26,984x = 56,912 × 56,912
  4. Step 4: Simplify right side
    26,984x = 3,238,975,744
  5. Step 5: Solve for x
    x = 3,238,975,744/26,984
  6. Step 6: Final answer
    x = 120,033.20

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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.