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Finding the Third Proportional to 26,603 and 54,421

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Solution

The third proportional to 26,603 and 54,421 is: 111,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,603 : 54,421 = 54,421 : x
  2. Step 2: Convert to fraction form
    26,603/54,421 = 54,421/x
  3. Step 3: Cross multiply
    26,603x = 54,421 × 54,421
  4. Step 4: Simplify right side
    26,603x = 2,961,645,241
  5. Step 5: Solve for x
    x = 2,961,645,241/26,603
  6. Step 6: Final answer
    x = 111,327.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.