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Finding the Third Proportional to 4,026 and 5,659

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Solution

The third proportional to 4,026 and 5,659 is: 7,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026 : 5,659 = 5,659 : x
  2. Step 2: Convert to fraction form
    4,026/5,659 = 5,659/x
  3. Step 3: Cross multiply
    4,026x = 5,659 × 5,659
  4. Step 4: Simplify right side
    4,026x = 32,024,281
  5. Step 5: Solve for x
    x = 32,024,281/4,026
  6. Step 6: Final answer
    x = 7,954.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.