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Finding the Third Proportional to 25,930 and 50,564

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Solution

The third proportional to 25,930 and 50,564 is: 98,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930 : 50,564 = 50,564 : x
  2. Step 2: Convert to fraction form
    25,930/50,564 = 50,564/x
  3. Step 3: Cross multiply
    25,930x = 50,564 × 50,564
  4. Step 4: Simplify right side
    25,930x = 2,556,718,096
  5. Step 5: Solve for x
    x = 2,556,718,096/25,930
  6. Step 6: Final answer
    x = 98,600.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.