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Finding the Third Proportional to 6,324 and 12,000

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Solution

The third proportional to 6,324 and 12,000 is: 22,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 12,000 = 12,000 : x
  2. Step 2: Convert to fraction form
    6,324/12,000 = 12,000/x
  3. Step 3: Cross multiply
    6,324x = 12,000 × 12,000
  4. Step 4: Simplify right side
    6,324x = 144,000,000
  5. Step 5: Solve for x
    x = 144,000,000/6,324
  6. Step 6: Final answer
    x = 22,770.40

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.