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Finding the Third Proportional to 4,500 and 8,100

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Solution

The third proportional to 4,500 and 8,100 is: 14,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 8,100 = 8,100 : x
  2. Step 2: Convert to fraction form
    4,500/8,100 = 8,100/x
  3. Step 3: Cross multiply
    4,500x = 8,100 × 8,100
  4. Step 4: Simplify right side
    4,500x = 65,610,000
  5. Step 5: Solve for x
    x = 65,610,000/4,500
  6. Step 6: Final answer
    x = 14,580

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.