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Finding the Third Proportional to 23,037 and 35,571

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Solution

The third proportional to 23,037 and 35,571 is: 54,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037 : 35,571 = 35,571 : x
  2. Step 2: Convert to fraction form
    23,037/35,571 = 35,571/x
  3. Step 3: Cross multiply
    23,037x = 35,571 × 35,571
  4. Step 4: Simplify right side
    23,037x = 1,265,296,041
  5. Step 5: Solve for x
    x = 1,265,296,041/23,037
  6. Step 6: Final answer
    x = 54,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.