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Finding the Third Proportional to 2,690.72 and 5,793.40

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Solution

The third proportional to 2,690.72 and 5,793.40 is: 12,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.72 : 5,793.40 = 5,793.40 : x
  2. Step 2: Convert to fraction form
    2,690.72/5,793.40 = 5,793.40/x
  3. Step 3: Cross multiply
    2,690.72x = 5,793.40 × 5,793.40
  4. Step 4: Simplify right side
    2,690.72x = 33,563,465.46
  5. Step 5: Solve for x
    x = 33,563,465.46/2,690.72
  6. Step 6: Final answer
    x = 12,473.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.