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Finding the Third Proportional to 8,197.45 and 12,537.28

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Solution

The third proportional to 8,197.45 and 12,537.28 is: 19,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.45 : 12,537.28 = 12,537.28 : x
  2. Step 2: Convert to fraction form
    8,197.45/12,537.28 = 12,537.28/x
  3. Step 3: Cross multiply
    8,197.45x = 12,537.28 × 12,537.28
  4. Step 4: Simplify right side
    8,197.45x = 157,183,421.14
  5. Step 5: Solve for x
    x = 157,183,421.14/8,197.45
  6. Step 6: Final answer
    x = 19,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.