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Finding the Third Proportional to 1,904.81 and 2,847.38

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Solution

The third proportional to 1,904.81 and 2,847.38 is: 4,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.81 : 2,847.38 = 2,847.38 : x
  2. Step 2: Convert to fraction form
    1,904.81/2,847.38 = 2,847.38/x
  3. Step 3: Cross multiply
    1,904.81x = 2,847.38 × 2,847.38
  4. Step 4: Simplify right side
    1,904.81x = 8,107,544.39
  5. Step 5: Solve for x
    x = 8,107,544.39/1,904.81
  6. Step 6: Final answer
    x = 4,256.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.