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Finding the Third Proportional to 7,006 and 9,793

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Solution

The third proportional to 7,006 and 9,793 is: 13,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 9,793 = 9,793 : x
  2. Step 2: Convert to fraction form
    7,006/9,793 = 9,793/x
  3. Step 3: Cross multiply
    7,006x = 9,793 × 9,793
  4. Step 4: Simplify right side
    7,006x = 95,902,849
  5. Step 5: Solve for x
    x = 95,902,849/7,006
  6. Step 6: Final answer
    x = 13,688.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.