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Finding the Third Proportional to 2,639.07 and 5,734.47

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Solution

The third proportional to 2,639.07 and 5,734.47 is: 12,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.07 : 5,734.47 = 5,734.47 : x
  2. Step 2: Convert to fraction form
    2,639.07/5,734.47 = 5,734.47/x
  3. Step 3: Cross multiply
    2,639.07x = 5,734.47 × 5,734.47
  4. Step 4: Simplify right side
    2,639.07x = 32,884,120.64
  5. Step 5: Solve for x
    x = 32,884,120.64/2,639.07
  6. Step 6: Final answer
    x = 12,460.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.