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Finding the Third Proportional to 23,458 and 51,474

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Solution

The third proportional to 23,458 and 51,474 is: 112,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458 : 51,474 = 51,474 : x
  2. Step 2: Convert to fraction form
    23,458/51,474 = 51,474/x
  3. Step 3: Cross multiply
    23,458x = 51,474 × 51,474
  4. Step 4: Simplify right side
    23,458x = 2,649,572,676
  5. Step 5: Solve for x
    x = 2,649,572,676/23,458
  6. Step 6: Final answer
    x = 112,949.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.