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Finding the Third Proportional to 4,368 and 10,002

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Solution

The third proportional to 4,368 and 10,002 is: 22,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368 : 10,002 = 10,002 : x
  2. Step 2: Convert to fraction form
    4,368/10,002 = 10,002/x
  3. Step 3: Cross multiply
    4,368x = 10,002 × 10,002
  4. Step 4: Simplify right side
    4,368x = 100,040,004
  5. Step 5: Solve for x
    x = 100,040,004/4,368
  6. Step 6: Final answer
    x = 22,902.93

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.