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Finding the Third Proportional to 20,303 and 30,351

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Solution

The third proportional to 20,303 and 30,351 is: 45,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303 : 30,351 = 30,351 : x
  2. Step 2: Convert to fraction form
    20,303/30,351 = 30,351/x
  3. Step 3: Cross multiply
    20,303x = 30,351 × 30,351
  4. Step 4: Simplify right side
    20,303x = 921,183,201
  5. Step 5: Solve for x
    x = 921,183,201/20,303
  6. Step 6: Final answer
    x = 45,371.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.