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Finding the Third Proportional to 3,502 and 7,166

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Solution

The third proportional to 3,502 and 7,166 is: 14,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 7,166 = 7,166 : x
  2. Step 2: Convert to fraction form
    3,502/7,166 = 7,166/x
  3. Step 3: Cross multiply
    3,502x = 7,166 × 7,166
  4. Step 4: Simplify right side
    3,502x = 51,351,556
  5. Step 5: Solve for x
    x = 51,351,556/3,502
  6. Step 6: Final answer
    x = 14,663.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.