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Finding the Third Proportional to 7,303 and 11,866

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Solution

The third proportional to 7,303 and 11,866 is: 19,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303 : 11,866 = 11,866 : x
  2. Step 2: Convert to fraction form
    7,303/11,866 = 11,866/x
  3. Step 3: Cross multiply
    7,303x = 11,866 × 11,866
  4. Step 4: Simplify right side
    7,303x = 140,801,956
  5. Step 5: Solve for x
    x = 140,801,956/7,303
  6. Step 6: Final answer
    x = 19,280.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.