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Finding the Third Proportional to 20,265 and 30,677

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Solution

The third proportional to 20,265 and 30,677 is: 46,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265 : 30,677 = 30,677 : x
  2. Step 2: Convert to fraction form
    20,265/30,677 = 30,677/x
  3. Step 3: Cross multiply
    20,265x = 30,677 × 30,677
  4. Step 4: Simplify right side
    20,265x = 941,078,329
  5. Step 5: Solve for x
    x = 941,078,329/20,265
  6. Step 6: Final answer
    x = 46,438.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.