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Finding the Third Proportional to 20,524 and 31,378

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Solution

The third proportional to 20,524 and 31,378 is: 47,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524 : 31,378 = 31,378 : x
  2. Step 2: Convert to fraction form
    20,524/31,378 = 31,378/x
  3. Step 3: Cross multiply
    20,524x = 31,378 × 31,378
  4. Step 4: Simplify right side
    20,524x = 984,578,884
  5. Step 5: Solve for x
    x = 984,578,884/20,524
  6. Step 6: Final answer
    x = 47,972.08

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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.