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Finding the Third Proportional to 12,130 and 16,467

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Solution

The third proportional to 12,130 and 16,467 is: 22,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130 : 16,467 = 16,467 : x
  2. Step 2: Convert to fraction form
    12,130/16,467 = 16,467/x
  3. Step 3: Cross multiply
    12,130x = 16,467 × 16,467
  4. Step 4: Simplify right side
    12,130x = 271,162,089
  5. Step 5: Solve for x
    x = 271,162,089/12,130
  6. Step 6: Final answer
    x = 22,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.