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Finding the Third Proportional to 25,002 and 41,679

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Solution

The third proportional to 25,002 and 41,679 is: 69,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002 : 41,679 = 41,679 : x
  2. Step 2: Convert to fraction form
    25,002/41,679 = 41,679/x
  3. Step 3: Cross multiply
    25,002x = 41,679 × 41,679
  4. Step 4: Simplify right side
    25,002x = 1,737,139,041
  5. Step 5: Solve for x
    x = 1,737,139,041/25,002
  6. Step 6: Final answer
    x = 69,480.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.