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Finding the Third Proportional to 20,085 and 30,650

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Solution

The third proportional to 20,085 and 30,650 is: 46,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085 : 30,650 = 30,650 : x
  2. Step 2: Convert to fraction form
    20,085/30,650 = 30,650/x
  3. Step 3: Cross multiply
    20,085x = 30,650 × 30,650
  4. Step 4: Simplify right side
    20,085x = 939,422,500
  5. Step 5: Solve for x
    x = 939,422,500/20,085
  6. Step 6: Final answer
    x = 46,772.34

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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.