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Finding the Third Proportional to 30,040 and 60,849

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Solution

The third proportional to 30,040 and 60,849 is: 123,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040 : 60,849 = 60,849 : x
  2. Step 2: Convert to fraction form
    30,040/60,849 = 60,849/x
  3. Step 3: Cross multiply
    30,040x = 60,849 × 60,849
  4. Step 4: Simplify right side
    30,040x = 3,702,600,801
  5. Step 5: Solve for x
    x = 3,702,600,801/30,040
  6. Step 6: Final answer
    x = 123,255.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.