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Finding the Third Proportional to 3,024 and 4,394

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Solution

The third proportional to 3,024 and 4,394 is: 6,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 4,394 = 4,394 : x
  2. Step 2: Convert to fraction form
    3,024/4,394 = 4,394/x
  3. Step 3: Cross multiply
    3,024x = 4,394 × 4,394
  4. Step 4: Simplify right side
    3,024x = 19,307,236
  5. Step 5: Solve for x
    x = 19,307,236/3,024
  6. Step 6: Final answer
    x = 6,384.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.