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Finding the Third Proportional to 4,090 and 5,721

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Solution

The third proportional to 4,090 and 5,721 is: 8,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 5,721 = 5,721 : x
  2. Step 2: Convert to fraction form
    4,090/5,721 = 5,721/x
  3. Step 3: Cross multiply
    4,090x = 5,721 × 5,721
  4. Step 4: Simplify right side
    4,090x = 32,729,841
  5. Step 5: Solve for x
    x = 32,729,841/4,090
  6. Step 6: Final answer
    x = 8,002.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.