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Finding the Third Proportional to 5,003.06 and 11,581.22

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Solution

The third proportional to 5,003.06 and 11,581.22 is: 26,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.06 : 11,581.22 = 11,581.22 : x
  2. Step 2: Convert to fraction form
    5,003.06/11,581.22 = 11,581.22/x
  3. Step 3: Cross multiply
    5,003.06x = 11,581.22 × 11,581.22
  4. Step 4: Simplify right side
    5,003.06x = 134,124,627.74
  5. Step 5: Solve for x
    x = 134,124,627.74/5,003.06
  6. Step 6: Final answer
    x = 26,808.51

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.