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Finding the Third Proportional to 2,707.17 and 4,850.51

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Solution

The third proportional to 2,707.17 and 4,850.51 is: 8,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.17 : 4,850.51 = 4,850.51 : x
  2. Step 2: Convert to fraction form
    2,707.17/4,850.51 = 4,850.51/x
  3. Step 3: Cross multiply
    2,707.17x = 4,850.51 × 4,850.51
  4. Step 4: Simplify right side
    2,707.17x = 23,527,426.04
  5. Step 5: Solve for x
    x = 23,527,426.04/2,707.17
  6. Step 6: Final answer
    x = 8,690.78

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.