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Finding the Third Proportional to 11,408 and 26,984

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Solution

The third proportional to 11,408 and 26,984 is: 63,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408 : 26,984 = 26,984 : x
  2. Step 2: Convert to fraction form
    11,408/26,984 = 26,984/x
  3. Step 3: Cross multiply
    11,408x = 26,984 × 26,984
  4. Step 4: Simplify right side
    11,408x = 728,136,256
  5. Step 5: Solve for x
    x = 728,136,256/11,408
  6. Step 6: Final answer
    x = 63,826.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.