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Finding the Third Proportional to 4,262 and 8,002

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Solution

The third proportional to 4,262 and 8,002 is: 15,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262 : 8,002 = 8,002 : x
  2. Step 2: Convert to fraction form
    4,262/8,002 = 8,002/x
  3. Step 3: Cross multiply
    4,262x = 8,002 × 8,002
  4. Step 4: Simplify right side
    4,262x = 64,032,004
  5. Step 5: Solve for x
    x = 64,032,004/4,262
  6. Step 6: Final answer
    x = 15,023.93

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.