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Finding the Third Proportional to 27,207.50 and 39,879.50

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Solution

The third proportional to 27,207.50 and 39,879.50 is: 58,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207.50 : 39,879.50 = 39,879.50 : x
  2. Step 2: Convert to fraction form
    27,207.50/39,879.50 = 39,879.50/x
  3. Step 3: Cross multiply
    27,207.50x = 39,879.50 × 39,879.50
  4. Step 4: Simplify right side
    27,207.50x = 1,590,374,520.25
  5. Step 5: Solve for x
    x = 1,590,374,520.25/27,207.50
  6. Step 6: Final answer
    x = 58,453.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.