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Finding the Third Proportional to 4,500 and 9,630

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Solution

The third proportional to 4,500 and 9,630 is: 20,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 9,630 = 9,630 : x
  2. Step 2: Convert to fraction form
    4,500/9,630 = 9,630/x
  3. Step 3: Cross multiply
    4,500x = 9,630 × 9,630
  4. Step 4: Simplify right side
    4,500x = 92,736,900
  5. Step 5: Solve for x
    x = 92,736,900/4,500
  6. Step 6: Final answer
    x = 20,608.20

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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.