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Finding the Third Proportional to 6,630 and 10,271

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Solution

The third proportional to 6,630 and 10,271 is: 15,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630 : 10,271 = 10,271 : x
  2. Step 2: Convert to fraction form
    6,630/10,271 = 10,271/x
  3. Step 3: Cross multiply
    6,630x = 10,271 × 10,271
  4. Step 4: Simplify right side
    6,630x = 105,493,441
  5. Step 5: Solve for x
    x = 105,493,441/6,630
  6. Step 6: Final answer
    x = 15,911.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.