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Finding the Third Proportional to 14,166 and 20,817

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Solution

The third proportional to 14,166 and 20,817 is: 30,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    14,166/20,817 = 20,817/x
  3. Step 3: Cross multiply
    14,166x = 20,817 × 20,817
  4. Step 4: Simplify right side
    14,166x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/14,166
  6. Step 6: Final answer
    x = 30,590.67

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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.