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Finding the Third Proportional to 4,546 and 10,474

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Solution

The third proportional to 4,546 and 10,474 is: 24,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 10,474 = 10,474 : x
  2. Step 2: Convert to fraction form
    4,546/10,474 = 10,474/x
  3. Step 3: Cross multiply
    4,546x = 10,474 × 10,474
  4. Step 4: Simplify right side
    4,546x = 109,704,676
  5. Step 5: Solve for x
    x = 109,704,676/4,546
  6. Step 6: Final answer
    x = 24,132.13

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.