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Finding the Third Proportional to 24,328 and 50,478

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Solution

The third proportional to 24,328 and 50,478 is: 104,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328 : 50,478 = 50,478 : x
  2. Step 2: Convert to fraction form
    24,328/50,478 = 50,478/x
  3. Step 3: Cross multiply
    24,328x = 50,478 × 50,478
  4. Step 4: Simplify right side
    24,328x = 2,548,028,484
  5. Step 5: Solve for x
    x = 2,548,028,484/24,328
  6. Step 6: Final answer
    x = 104,736.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.