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Finding the Third Proportional to 1,994.06 and 3,699.56

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Solution

The third proportional to 1,994.06 and 3,699.56 is: 6,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.06 : 3,699.56 = 3,699.56 : x
  2. Step 2: Convert to fraction form
    1,994.06/3,699.56 = 3,699.56/x
  3. Step 3: Cross multiply
    1,994.06x = 3,699.56 × 3,699.56
  4. Step 4: Simplify right side
    1,994.06x = 13,686,762.69
  5. Step 5: Solve for x
    x = 13,686,762.69/1,994.06
  6. Step 6: Final answer
    x = 6,863.76

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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.