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Finding the Third Proportional to 23,274 and 35,455

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Solution

The third proportional to 23,274 and 35,455 is: 54,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274 : 35,455 = 35,455 : x
  2. Step 2: Convert to fraction form
    23,274/35,455 = 35,455/x
  3. Step 3: Cross multiply
    23,274x = 35,455 × 35,455
  4. Step 4: Simplify right side
    23,274x = 1,257,057,025
  5. Step 5: Solve for x
    x = 1,257,057,025/23,274
  6. Step 6: Final answer
    x = 54,011.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.