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Finding the Third Proportional to 26,406 and 54,987.75

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Solution

The third proportional to 26,406 and 54,987.75 is: 114,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 54,987.75 = 54,987.75 : x
  2. Step 2: Convert to fraction form
    26,406/54,987.75 = 54,987.75/x
  3. Step 3: Cross multiply
    26,406x = 54,987.75 × 54,987.75
  4. Step 4: Simplify right side
    26,406x = 3,023,652,650.06
  5. Step 5: Solve for x
    x = 3,023,652,650.06/26,406
  6. Step 6: Final answer
    x = 114,506.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.