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Finding the Third Proportional to 12,394.50 and 27,021.75

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Solution

The third proportional to 12,394.50 and 27,021.75 is: 58,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.50 : 27,021.75 = 27,021.75 : x
  2. Step 2: Convert to fraction form
    12,394.50/27,021.75 = 27,021.75/x
  3. Step 3: Cross multiply
    12,394.50x = 27,021.75 × 27,021.75
  4. Step 4: Simplify right side
    12,394.50x = 730,174,973.06
  5. Step 5: Solve for x
    x = 730,174,973.06/12,394.50
  6. Step 6: Final answer
    x = 58,911.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.