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Finding the Third Proportional to 2,333.81 and 3,390.19

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Solution

The third proportional to 2,333.81 and 3,390.19 is: 4,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.81 : 3,390.19 = 3,390.19 : x
  2. Step 2: Convert to fraction form
    2,333.81/3,390.19 = 3,390.19/x
  3. Step 3: Cross multiply
    2,333.81x = 3,390.19 × 3,390.19
  4. Step 4: Simplify right side
    2,333.81x = 11,493,371.29
  5. Step 5: Solve for x
    x = 11,493,371.29/2,333.81
  6. Step 6: Final answer
    x = 4,924.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.