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Finding the Third Proportional to 30,269 and 62,986

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Solution

The third proportional to 30,269 and 62,986 is: 131,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269 : 62,986 = 62,986 : x
  2. Step 2: Convert to fraction form
    30,269/62,986 = 62,986/x
  3. Step 3: Cross multiply
    30,269x = 62,986 × 62,986
  4. Step 4: Simplify right side
    30,269x = 3,967,236,196
  5. Step 5: Solve for x
    x = 3,967,236,196/30,269
  6. Step 6: Final answer
    x = 131,065.98

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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.