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Finding the Third Proportional to 30,399 and 62,301

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Solution

The third proportional to 30,399 and 62,301 is: 127,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399 : 62,301 = 62,301 : x
  2. Step 2: Convert to fraction form
    30,399/62,301 = 62,301/x
  3. Step 3: Cross multiply
    30,399x = 62,301 × 62,301
  4. Step 4: Simplify right side
    30,399x = 3,881,414,601
  5. Step 5: Solve for x
    x = 3,881,414,601/30,399
  6. Step 6: Final answer
    x = 127,682.31

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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.