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Finding the Third Proportional to 2,014.03 and 3,112.17

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Solution

The third proportional to 2,014.03 and 3,112.17 is: 4,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.03 : 3,112.17 = 3,112.17 : x
  2. Step 2: Convert to fraction form
    2,014.03/3,112.17 = 3,112.17/x
  3. Step 3: Cross multiply
    2,014.03x = 3,112.17 × 3,112.17
  4. Step 4: Simplify right side
    2,014.03x = 9,685,613.78
  5. Step 5: Solve for x
    x = 9,685,613.78/2,014.03
  6. Step 6: Final answer
    x = 4,809.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.