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Finding the Third Proportional to 26,578 and 54,830

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Solution

The third proportional to 26,578 and 54,830 is: 113,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578 : 54,830 = 54,830 : x
  2. Step 2: Convert to fraction form
    26,578/54,830 = 54,830/x
  3. Step 3: Cross multiply
    26,578x = 54,830 × 54,830
  4. Step 4: Simplify right side
    26,578x = 3,006,328,900
  5. Step 5: Solve for x
    x = 3,006,328,900/26,578
  6. Step 6: Final answer
    x = 113,113.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.