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Finding the Third Proportional to 20,213 and 30,897

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Solution

The third proportional to 20,213 and 30,897 is: 47,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 30,897 = 30,897 : x
  2. Step 2: Convert to fraction form
    20,213/30,897 = 30,897/x
  3. Step 3: Cross multiply
    20,213x = 30,897 × 30,897
  4. Step 4: Simplify right side
    20,213x = 954,624,609
  5. Step 5: Solve for x
    x = 954,624,609/20,213
  6. Step 6: Final answer
    x = 47,228.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.