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Finding the Third Proportional to 1,581.68 and 3,406.36

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Solution

The third proportional to 1,581.68 and 3,406.36 is: 7,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.68 : 3,406.36 = 3,406.36 : x
  2. Step 2: Convert to fraction form
    1,581.68/3,406.36 = 3,406.36/x
  3. Step 3: Cross multiply
    1,581.68x = 3,406.36 × 3,406.36
  4. Step 4: Simplify right side
    1,581.68x = 11,603,284.19
  5. Step 5: Solve for x
    x = 11,603,284.19/1,581.68
  6. Step 6: Final answer
    x = 7,336.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.