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Finding the Third Proportional to 11,102.06 and 16,619.34

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Solution

The third proportional to 11,102.06 and 16,619.34 is: 24,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.06 : 16,619.34 = 16,619.34 : x
  2. Step 2: Convert to fraction form
    11,102.06/16,619.34 = 16,619.34/x
  3. Step 3: Cross multiply
    11,102.06x = 16,619.34 × 16,619.34
  4. Step 4: Simplify right side
    11,102.06x = 276,202,586.68
  5. Step 5: Solve for x
    x = 276,202,586.68/11,102.06
  6. Step 6: Final answer
    x = 24,878.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.