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Finding the Third Proportional to 11,255.06 and 15,242.06

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Solution

The third proportional to 11,255.06 and 15,242.06 is: 20,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.06 : 15,242.06 = 15,242.06 : x
  2. Step 2: Convert to fraction form
    11,255.06/15,242.06 = 15,242.06/x
  3. Step 3: Cross multiply
    11,255.06x = 15,242.06 × 15,242.06
  4. Step 4: Simplify right side
    11,255.06x = 232,320,469.25
  5. Step 5: Solve for x
    x = 232,320,469.25/11,255.06
  6. Step 6: Final answer
    x = 20,641.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.