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Finding the Third Proportional to 9,461 and 22,100

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Solution

The third proportional to 9,461 and 22,100 is: 51,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461 : 22,100 = 22,100 : x
  2. Step 2: Convert to fraction form
    9,461/22,100 = 22,100/x
  3. Step 3: Cross multiply
    9,461x = 22,100 × 22,100
  4. Step 4: Simplify right side
    9,461x = 488,410,000
  5. Step 5: Solve for x
    x = 488,410,000/9,461
  6. Step 6: Final answer
    x = 51,623.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.