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Finding the Third Proportional to 6,020 and 8,242

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Solution

The third proportional to 6,020 and 8,242 is: 11,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020 : 8,242 = 8,242 : x
  2. Step 2: Convert to fraction form
    6,020/8,242 = 8,242/x
  3. Step 3: Cross multiply
    6,020x = 8,242 × 8,242
  4. Step 4: Simplify right side
    6,020x = 67,930,564
  5. Step 5: Solve for x
    x = 67,930,564/6,020
  6. Step 6: Final answer
    x = 11,284.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.