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Finding the Third Proportional to 2,755.11 and 6,000.01

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Solution

The third proportional to 2,755.11 and 6,000.01 is: 13,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.11 : 6,000.01 = 6,000.01 : x
  2. Step 2: Convert to fraction form
    2,755.11/6,000.01 = 6,000.01/x
  3. Step 3: Cross multiply
    2,755.11x = 6,000.01 × 6,000.01
  4. Step 4: Simplify right side
    2,755.11x = 36,000,140.63
  5. Step 5: Solve for x
    x = 36,000,140.63/2,755.11
  6. Step 6: Final answer
    x = 13,066.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.