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Finding the Third Proportional to 30,301 and 50,324

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Solution

The third proportional to 30,301 and 50,324 is: 83,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301 : 50,324 = 50,324 : x
  2. Step 2: Convert to fraction form
    30,301/50,324 = 50,324/x
  3. Step 3: Cross multiply
    30,301x = 50,324 × 50,324
  4. Step 4: Simplify right side
    30,301x = 2,532,504,976
  5. Step 5: Solve for x
    x = 2,532,504,976/30,301
  6. Step 6: Final answer
    x = 83,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.