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Finding the Third Proportional to 20,620 and 31,340

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Solution

The third proportional to 20,620 and 31,340 is: 47,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620 : 31,340 = 31,340 : x
  2. Step 2: Convert to fraction form
    20,620/31,340 = 31,340/x
  3. Step 3: Cross multiply
    20,620x = 31,340 × 31,340
  4. Step 4: Simplify right side
    20,620x = 982,195,600
  5. Step 5: Solve for x
    x = 982,195,600/20,620
  6. Step 6: Final answer
    x = 47,633.15

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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.