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Finding the Third Proportional to 7,093 and 10,829

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Solution

The third proportional to 7,093 and 10,829 is: 16,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093 : 10,829 = 10,829 : x
  2. Step 2: Convert to fraction form
    7,093/10,829 = 10,829/x
  3. Step 3: Cross multiply
    7,093x = 10,829 × 10,829
  4. Step 4: Simplify right side
    7,093x = 117,267,241
  5. Step 5: Solve for x
    x = 117,267,241/7,093
  6. Step 6: Final answer
    x = 16,532.81

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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.