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Finding the Third Proportional to 11,738.88 and 26,102.04

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Solution

The third proportional to 11,738.88 and 26,102.04 is: 58,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.88 : 26,102.04 = 26,102.04 : x
  2. Step 2: Convert to fraction form
    11,738.88/26,102.04 = 26,102.04/x
  3. Step 3: Cross multiply
    11,738.88x = 26,102.04 × 26,102.04
  4. Step 4: Simplify right side
    11,738.88x = 681,316,443.22
  5. Step 5: Solve for x
    x = 681,316,443.22/11,738.88
  6. Step 6: Final answer
    x = 58,039.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.