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Finding the Third Proportional to 4,622 and 10,000

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Solution

The third proportional to 4,622 and 10,000 is: 21,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622 : 10,000 = 10,000 : x
  2. Step 2: Convert to fraction form
    4,622/10,000 = 10,000/x
  3. Step 3: Cross multiply
    4,622x = 10,000 × 10,000
  4. Step 4: Simplify right side
    4,622x = 100,000,000
  5. Step 5: Solve for x
    x = 100,000,000/4,622
  6. Step 6: Final answer
    x = 21,635.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.