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Finding the Third Proportional to 30,272 and 62,990

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Solution

The third proportional to 30,272 and 62,990 is: 131,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272 : 62,990 = 62,990 : x
  2. Step 2: Convert to fraction form
    30,272/62,990 = 62,990/x
  3. Step 3: Cross multiply
    30,272x = 62,990 × 62,990
  4. Step 4: Simplify right side
    30,272x = 3,967,740,100
  5. Step 5: Solve for x
    x = 3,967,740,100/30,272
  6. Step 6: Final answer
    x = 131,069.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.