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Finding the Third Proportional to 2,956.75 and 4,111.13

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Solution

The third proportional to 2,956.75 and 4,111.13 is: 5,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.75 : 4,111.13 = 4,111.13 : x
  2. Step 2: Convert to fraction form
    2,956.75/4,111.13 = 4,111.13/x
  3. Step 3: Cross multiply
    2,956.75x = 4,111.13 × 4,111.13
  4. Step 4: Simplify right side
    2,956.75x = 16,901,348.77
  5. Step 5: Solve for x
    x = 16,901,348.77/2,956.75
  6. Step 6: Final answer
    x = 5,716.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.