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Finding the Third Proportional to 2,917.81 and 6,402.56

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Solution

The third proportional to 2,917.81 and 6,402.56 is: 14,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.81 : 6,402.56 = 6,402.56 : x
  2. Step 2: Convert to fraction form
    2,917.81/6,402.56 = 6,402.56/x
  3. Step 3: Cross multiply
    2,917.81x = 6,402.56 × 6,402.56
  4. Step 4: Simplify right side
    2,917.81x = 40,992,806.57
  5. Step 5: Solve for x
    x = 40,992,806.57/2,917.81
  6. Step 6: Final answer
    x = 14,049.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.