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Finding the Third Proportional to 2,381.06 and 3,690.56

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Solution

The third proportional to 2,381.06 and 3,690.56 is: 5,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.06 : 3,690.56 = 3,690.56 : x
  2. Step 2: Convert to fraction form
    2,381.06/3,690.56 = 3,690.56/x
  3. Step 3: Cross multiply
    2,381.06x = 3,690.56 × 3,690.56
  4. Step 4: Simplify right side
    2,381.06x = 13,620,251.57
  5. Step 5: Solve for x
    x = 13,620,251.57/2,381.06
  6. Step 6: Final answer
    x = 5,720.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.