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Finding the Third Proportional to 20,516 and 30,390

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Solution

The third proportional to 20,516 and 30,390 is: 45,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 30,390 = 30,390 : x
  2. Step 2: Convert to fraction form
    20,516/30,390 = 30,390/x
  3. Step 3: Cross multiply
    20,516x = 30,390 × 30,390
  4. Step 4: Simplify right side
    20,516x = 923,552,100
  5. Step 5: Solve for x
    x = 923,552,100/20,516
  6. Step 6: Final answer
    x = 45,016.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.