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Finding the Third Proportional to 3,000 and 6,420

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Solution

The third proportional to 3,000 and 6,420 is: 13,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 6,420 = 6,420 : x
  2. Step 2: Convert to fraction form
    3,000/6,420 = 6,420/x
  3. Step 3: Cross multiply
    3,000x = 6,420 × 6,420
  4. Step 4: Simplify right side
    3,000x = 41,216,400
  5. Step 5: Solve for x
    x = 41,216,400/3,000
  6. Step 6: Final answer
    x = 13,738.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.