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Finding the Third Proportional to 12,233 and 18,303

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Solution

The third proportional to 12,233 and 18,303 is: 27,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 18,303 = 18,303 : x
  2. Step 2: Convert to fraction form
    12,233/18,303 = 18,303/x
  3. Step 3: Cross multiply
    12,233x = 18,303 × 18,303
  4. Step 4: Simplify right side
    12,233x = 334,999,809
  5. Step 5: Solve for x
    x = 334,999,809/12,233
  6. Step 6: Final answer
    x = 27,384.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.