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Finding the Third Proportional to 24,154 and 35,366

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Solution

The third proportional to 24,154 and 35,366 is: 51,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154 : 35,366 = 35,366 : x
  2. Step 2: Convert to fraction form
    24,154/35,366 = 35,366/x
  3. Step 3: Cross multiply
    24,154x = 35,366 × 35,366
  4. Step 4: Simplify right side
    24,154x = 1,250,753,956
  5. Step 5: Solve for x
    x = 1,250,753,956/24,154
  6. Step 6: Final answer
    x = 51,782.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.