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Finding the Third Proportional to 11,064.56 and 16,919.44

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Solution

The third proportional to 11,064.56 and 16,919.44 is: 25,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.56 : 16,919.44 = 16,919.44 : x
  2. Step 2: Convert to fraction form
    11,064.56/16,919.44 = 16,919.44/x
  3. Step 3: Cross multiply
    11,064.56x = 16,919.44 × 16,919.44
  4. Step 4: Simplify right side
    11,064.56x = 286,267,365.32
  5. Step 5: Solve for x
    x = 286,267,365.32/11,064.56
  6. Step 6: Final answer
    x = 25,872.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.