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Finding the Third Proportional to 20,111 and 30,635

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Solution

The third proportional to 20,111 and 30,635 is: 46,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111 : 30,635 = 30,635 : x
  2. Step 2: Convert to fraction form
    20,111/30,635 = 30,635/x
  3. Step 3: Cross multiply
    20,111x = 30,635 × 30,635
  4. Step 4: Simplify right side
    20,111x = 938,503,225
  5. Step 5: Solve for x
    x = 938,503,225/20,111
  6. Step 6: Final answer
    x = 46,666.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.