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Finding the Third Proportional to 2,434.75 and 5,366.05

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Solution

The third proportional to 2,434.75 and 5,366.05 is: 11,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.75 : 5,366.05 = 5,366.05 : x
  2. Step 2: Convert to fraction form
    2,434.75/5,366.05 = 5,366.05/x
  3. Step 3: Cross multiply
    2,434.75x = 5,366.05 × 5,366.05
  4. Step 4: Simplify right side
    2,434.75x = 28,794,516.71
  5. Step 5: Solve for x
    x = 28,794,516.71/2,434.75
  6. Step 6: Final answer
    x = 11,826.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.