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Finding the Third Proportional to 26,804.25 and 39,426.75

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Solution

The third proportional to 26,804.25 and 39,426.75 is: 57,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804.25 : 39,426.75 = 39,426.75 : x
  2. Step 2: Convert to fraction form
    26,804.25/39,426.75 = 39,426.75/x
  3. Step 3: Cross multiply
    26,804.25x = 39,426.75 × 39,426.75
  4. Step 4: Simplify right side
    26,804.25x = 1,554,468,615.56
  5. Step 5: Solve for x
    x = 1,554,468,615.56/26,804.25
  6. Step 6: Final answer
    x = 57,993.36

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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.