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Finding the Third Proportional to 2,111.06 and 3,154.57

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Solution

The third proportional to 2,111.06 and 3,154.57 is: 4,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.06 : 3,154.57 = 3,154.57 : x
  2. Step 2: Convert to fraction form
    2,111.06/3,154.57 = 3,154.57/x
  3. Step 3: Cross multiply
    2,111.06x = 3,154.57 × 3,154.57
  4. Step 4: Simplify right side
    2,111.06x = 9,951,313.86
  5. Step 5: Solve for x
    x = 9,951,313.86/2,111.06
  6. Step 6: Final answer
    x = 4,713.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.