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Finding the Third Proportional to 20,199 and 28,914

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Solution

The third proportional to 20,199 and 28,914 is: 41,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 28,914 = 28,914 : x
  2. Step 2: Convert to fraction form
    20,199/28,914 = 28,914/x
  3. Step 3: Cross multiply
    20,199x = 28,914 × 28,914
  4. Step 4: Simplify right side
    20,199x = 836,019,396
  5. Step 5: Solve for x
    x = 836,019,396/20,199
  6. Step 6: Final answer
    x = 41,389.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.