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Finding the Third Proportional to 10,000 and 22,048

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Solution

The third proportional to 10,000 and 22,048 is: 48,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000 : 22,048 = 22,048 : x
  2. Step 2: Convert to fraction form
    10,000/22,048 = 22,048/x
  3. Step 3: Cross multiply
    10,000x = 22,048 × 22,048
  4. Step 4: Simplify right side
    10,000x = 486,114,304
  5. Step 5: Solve for x
    x = 486,114,304/10,000
  6. Step 6: Final answer
    x = 48,611.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.