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Finding the Third Proportional to 12,333 and 26,453

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Solution

The third proportional to 12,333 and 26,453 is: 56,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333 : 26,453 = 26,453 : x
  2. Step 2: Convert to fraction form
    12,333/26,453 = 26,453/x
  3. Step 3: Cross multiply
    12,333x = 26,453 × 26,453
  4. Step 4: Simplify right side
    12,333x = 699,761,209
  5. Step 5: Solve for x
    x = 699,761,209/12,333
  6. Step 6: Final answer
    x = 56,738.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.