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Finding the Third Proportional to 2,688.94 and 5,704.31

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Solution

The third proportional to 2,688.94 and 5,704.31 is: 12,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.94 : 5,704.31 = 5,704.31 : x
  2. Step 2: Convert to fraction form
    2,688.94/5,704.31 = 5,704.31/x
  3. Step 3: Cross multiply
    2,688.94x = 5,704.31 × 5,704.31
  4. Step 4: Simplify right side
    2,688.94x = 32,539,181.10
  5. Step 5: Solve for x
    x = 32,539,181.10/2,688.94
  6. Step 6: Final answer
    x = 12,101.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.