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Finding the Third Proportional to 23,374 and 35,759

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Solution

The third proportional to 23,374 and 35,759 is: 54,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374 : 35,759 = 35,759 : x
  2. Step 2: Convert to fraction form
    23,374/35,759 = 35,759/x
  3. Step 3: Cross multiply
    23,374x = 35,759 × 35,759
  4. Step 4: Simplify right side
    23,374x = 1,278,706,081
  5. Step 5: Solve for x
    x = 1,278,706,081/23,374
  6. Step 6: Final answer
    x = 54,706.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.