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Finding the Third Proportional to 25,072 and 50,554

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Solution

The third proportional to 25,072 and 50,554 is: 101,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072 : 50,554 = 50,554 : x
  2. Step 2: Convert to fraction form
    25,072/50,554 = 50,554/x
  3. Step 3: Cross multiply
    25,072x = 50,554 × 50,554
  4. Step 4: Simplify right side
    25,072x = 2,555,706,916
  5. Step 5: Solve for x
    x = 2,555,706,916/25,072
  6. Step 6: Final answer
    x = 101,934.70

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.