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Finding the Third Proportional to 30,419 and 62,296

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Solution

The third proportional to 30,419 and 62,296 is: 127,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419 : 62,296 = 62,296 : x
  2. Step 2: Convert to fraction form
    30,419/62,296 = 62,296/x
  3. Step 3: Cross multiply
    30,419x = 62,296 × 62,296
  4. Step 4: Simplify right side
    30,419x = 3,880,791,616
  5. Step 5: Solve for x
    x = 3,880,791,616/30,419
  6. Step 6: Final answer
    x = 127,577.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.