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Finding the Third Proportional to 26,644 and 54,205

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Solution

The third proportional to 26,644 and 54,205 is: 110,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,644 : 54,205 = 54,205 : x
  2. Step 2: Convert to fraction form
    26,644/54,205 = 54,205/x
  3. Step 3: Cross multiply
    26,644x = 54,205 × 54,205
  4. Step 4: Simplify right side
    26,644x = 2,938,182,025
  5. Step 5: Solve for x
    x = 2,938,182,025/26,644
  6. Step 6: Final answer
    x = 110,275.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.