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Finding the Third Proportional to 1,395.09 and 2,933.81

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Solution

The third proportional to 1,395.09 and 2,933.81 is: 6,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.09 : 2,933.81 = 2,933.81 : x
  2. Step 2: Convert to fraction form
    1,395.09/2,933.81 = 2,933.81/x
  3. Step 3: Cross multiply
    1,395.09x = 2,933.81 × 2,933.81
  4. Step 4: Simplify right side
    1,395.09x = 8,607,255.79
  5. Step 5: Solve for x
    x = 8,607,255.79/1,395.09
  6. Step 6: Final answer
    x = 6,169.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.