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Finding the Third Proportional to 20,351 and 30,507

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Solution

The third proportional to 20,351 and 30,507 is: 45,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,351 : 30,507 = 30,507 : x
  2. Step 2: Convert to fraction form
    20,351/30,507 = 30,507/x
  3. Step 3: Cross multiply
    20,351x = 30,507 × 30,507
  4. Step 4: Simplify right side
    20,351x = 930,677,049
  5. Step 5: Solve for x
    x = 930,677,049/20,351
  6. Step 6: Final answer
    x = 45,731.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.