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Finding the Third Proportional to 11,919 and 26,219.25

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Solution

The third proportional to 11,919 and 26,219.25 is: 57,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 26,219.25 = 26,219.25 : x
  2. Step 2: Convert to fraction form
    11,919/26,219.25 = 26,219.25/x
  3. Step 3: Cross multiply
    11,919x = 26,219.25 × 26,219.25
  4. Step 4: Simplify right side
    11,919x = 687,449,070.56
  5. Step 5: Solve for x
    x = 687,449,070.56/11,919
  6. Step 6: Final answer
    x = 57,676.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.