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Finding the Third Proportional to 5,755.22 and 12,090.94

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Solution

The third proportional to 5,755.22 and 12,090.94 is: 25,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.22 : 12,090.94 = 12,090.94 : x
  2. Step 2: Convert to fraction form
    5,755.22/12,090.94 = 12,090.94/x
  3. Step 3: Cross multiply
    5,755.22x = 12,090.94 × 12,090.94
  4. Step 4: Simplify right side
    5,755.22x = 146,190,769.63
  5. Step 5: Solve for x
    x = 146,190,769.63/5,755.22
  6. Step 6: Final answer
    x = 25,401.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.