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Finding the Third Proportional to 12,333 and 18,472.50

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Solution

The third proportional to 12,333 and 18,472.50 is: 27,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333 : 18,472.50 = 18,472.50 : x
  2. Step 2: Convert to fraction form
    12,333/18,472.50 = 18,472.50/x
  3. Step 3: Cross multiply
    12,333x = 18,472.50 × 18,472.50
  4. Step 4: Simplify right side
    12,333x = 341,233,256.25
  5. Step 5: Solve for x
    x = 341,233,256.25/12,333
  6. Step 6: Final answer
    x = 27,668.31

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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.