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Finding the Third Proportional to 2,523.66 and 4,682.81

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Solution

The third proportional to 2,523.66 and 4,682.81 is: 8,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.66 : 4,682.81 = 4,682.81 : x
  2. Step 2: Convert to fraction form
    2,523.66/4,682.81 = 4,682.81/x
  3. Step 3: Cross multiply
    2,523.66x = 4,682.81 × 4,682.81
  4. Step 4: Simplify right side
    2,523.66x = 21,928,732.91
  5. Step 5: Solve for x
    x = 21,928,732.91/2,523.66
  6. Step 6: Final answer
    x = 8,689.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.