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Finding the Third Proportional to 26,212 and 54,854

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Solution

The third proportional to 26,212 and 54,854 is: 114,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,212 : 54,854 = 54,854 : x
  2. Step 2: Convert to fraction form
    26,212/54,854 = 54,854/x
  3. Step 3: Cross multiply
    26,212x = 54,854 × 54,854
  4. Step 4: Simplify right side
    26,212x = 3,008,961,316
  5. Step 5: Solve for x
    x = 3,008,961,316/26,212
  6. Step 6: Final answer
    x = 114,793.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.