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Finding the Third Proportional to 20,272 and 30,678

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Solution

The third proportional to 20,272 and 30,678 is: 46,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272 : 30,678 = 30,678 : x
  2. Step 2: Convert to fraction form
    20,272/30,678 = 30,678/x
  3. Step 3: Cross multiply
    20,272x = 30,678 × 30,678
  4. Step 4: Simplify right side
    20,272x = 941,139,684
  5. Step 5: Solve for x
    x = 941,139,684/20,272
  6. Step 6: Final answer
    x = 46,425.60

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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.