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Finding the Third Proportional to 9,401 and 20,053

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Solution

The third proportional to 9,401 and 20,053 is: 42,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401 : 20,053 = 20,053 : x
  2. Step 2: Convert to fraction form
    9,401/20,053 = 20,053/x
  3. Step 3: Cross multiply
    9,401x = 20,053 × 20,053
  4. Step 4: Simplify right side
    9,401x = 402,122,809
  5. Step 5: Solve for x
    x = 402,122,809/9,401
  6. Step 6: Final answer
    x = 42,774.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.