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Finding the Third Proportional to 23,525 and 50,764

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Solution

The third proportional to 23,525 and 50,764 is: 109,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525 : 50,764 = 50,764 : x
  2. Step 2: Convert to fraction form
    23,525/50,764 = 50,764/x
  3. Step 3: Cross multiply
    23,525x = 50,764 × 50,764
  4. Step 4: Simplify right side
    23,525x = 2,576,983,696
  5. Step 5: Solve for x
    x = 2,576,983,696/23,525
  6. Step 6: Final answer
    x = 109,542.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.