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Finding the Third Proportional to 12,234 and 26,813

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Solution

The third proportional to 12,234 and 26,813 is: 58,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234 : 26,813 = 26,813 : x
  2. Step 2: Convert to fraction form
    12,234/26,813 = 26,813/x
  3. Step 3: Cross multiply
    12,234x = 26,813 × 26,813
  4. Step 4: Simplify right side
    12,234x = 718,936,969
  5. Step 5: Solve for x
    x = 718,936,969/12,234
  6. Step 6: Final answer
    x = 58,765.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.