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Finding the Third Proportional to 23,380 and 50,648

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Solution

The third proportional to 23,380 and 50,648 is: 109,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380 : 50,648 = 50,648 : x
  2. Step 2: Convert to fraction form
    23,380/50,648 = 50,648/x
  3. Step 3: Cross multiply
    23,380x = 50,648 × 50,648
  4. Step 4: Simplify right side
    23,380x = 2,565,219,904
  5. Step 5: Solve for x
    x = 2,565,219,904/23,380
  6. Step 6: Final answer
    x = 109,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.