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Finding the Third Proportional to 2,523.13 and 3,937.94

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Solution

The third proportional to 2,523.13 and 3,937.94 is: 6,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.13 : 3,937.94 = 3,937.94 : x
  2. Step 2: Convert to fraction form
    2,523.13/3,937.94 = 3,937.94/x
  3. Step 3: Cross multiply
    2,523.13x = 3,937.94 × 3,937.94
  4. Step 4: Simplify right side
    2,523.13x = 15,507,351.75
  5. Step 5: Solve for x
    x = 15,507,351.75/2,523.13
  6. Step 6: Final answer
    x = 6,146.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.