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Finding the Third Proportional to 4,606 and 10,232

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Solution

The third proportional to 4,606 and 10,232 is: 22,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 10,232 = 10,232 : x
  2. Step 2: Convert to fraction form
    4,606/10,232 = 10,232/x
  3. Step 3: Cross multiply
    4,606x = 10,232 × 10,232
  4. Step 4: Simplify right side
    4,606x = 104,693,824
  5. Step 5: Solve for x
    x = 104,693,824/4,606
  6. Step 6: Final answer
    x = 22,729.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.