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Finding the Third Proportional to 14,170 and 20,823

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Solution

The third proportional to 14,170 and 20,823 is: 30,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170 : 20,823 = 20,823 : x
  2. Step 2: Convert to fraction form
    14,170/20,823 = 20,823/x
  3. Step 3: Cross multiply
    14,170x = 20,823 × 20,823
  4. Step 4: Simplify right side
    14,170x = 433,597,329
  5. Step 5: Solve for x
    x = 433,597,329/14,170
  6. Step 6: Final answer
    x = 30,599.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.