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Finding the Third Proportional to 3,706 and 5,412

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Solution

The third proportional to 3,706 and 5,412 is: 7,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706 : 5,412 = 5,412 : x
  2. Step 2: Convert to fraction form
    3,706/5,412 = 5,412/x
  3. Step 3: Cross multiply
    3,706x = 5,412 × 5,412
  4. Step 4: Simplify right side
    3,706x = 29,289,744
  5. Step 5: Solve for x
    x = 29,289,744/3,706
  6. Step 6: Final answer
    x = 7,903.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.