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Finding the Third Proportional to 3,651.89 and 7,994.81

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Solution

The third proportional to 3,651.89 and 7,994.81 is: 17,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.89 : 7,994.81 = 7,994.81 : x
  2. Step 2: Convert to fraction form
    3,651.89/7,994.81 = 7,994.81/x
  3. Step 3: Cross multiply
    3,651.89x = 7,994.81 × 7,994.81
  4. Step 4: Simplify right side
    3,651.89x = 63,917,026.91
  5. Step 5: Solve for x
    x = 63,917,026.91/3,651.89
  6. Step 6: Final answer
    x = 17,502.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.