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Finding the Third Proportional to 2,690.88 and 5,707.49

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Solution

The third proportional to 2,690.88 and 5,707.49 is: 12,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.88 : 5,707.49 = 5,707.49 : x
  2. Step 2: Convert to fraction form
    2,690.88/5,707.49 = 5,707.49/x
  3. Step 3: Cross multiply
    2,690.88x = 5,707.49 × 5,707.49
  4. Step 4: Simplify right side
    2,690.88x = 32,575,489.37
  5. Step 5: Solve for x
    x = 32,575,489.37/2,690.88
  6. Step 6: Final answer
    x = 12,105.90

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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.