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Finding the Third Proportional to 20,429 and 30,914

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Solution

The third proportional to 20,429 and 30,914 is: 46,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,429 : 30,914 = 30,914 : x
  2. Step 2: Convert to fraction form
    20,429/30,914 = 30,914/x
  3. Step 3: Cross multiply
    20,429x = 30,914 × 30,914
  4. Step 4: Simplify right side
    20,429x = 955,675,396
  5. Step 5: Solve for x
    x = 955,675,396/20,429
  6. Step 6: Final answer
    x = 46,780.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.