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Finding the Third Proportional to 5,242 and 8,029

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Solution

The third proportional to 5,242 and 8,029 is: 12,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242 : 8,029 = 8,029 : x
  2. Step 2: Convert to fraction form
    5,242/8,029 = 8,029/x
  3. Step 3: Cross multiply
    5,242x = 8,029 × 8,029
  4. Step 4: Simplify right side
    5,242x = 64,464,841
  5. Step 5: Solve for x
    x = 64,464,841/5,242
  6. Step 6: Final answer
    x = 12,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.