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Finding the Third Proportional to 27,969.75 and 39,106.13

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Solution

The third proportional to 27,969.75 and 39,106.13 is: 54,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.75 : 39,106.13 = 39,106.13 : x
  2. Step 2: Convert to fraction form
    27,969.75/39,106.13 = 39,106.13/x
  3. Step 3: Cross multiply
    27,969.75x = 39,106.13 × 39,106.13
  4. Step 4: Simplify right side
    27,969.75x = 1,529,289,012.52
  5. Step 5: Solve for x
    x = 1,529,289,012.52/27,969.75
  6. Step 6: Final answer
    x = 54,676.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.