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Finding the Third Proportional to 26,075.25 and 53,070.75

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Solution

The third proportional to 26,075.25 and 53,070.75 is: 108,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,075.25 : 53,070.75 = 53,070.75 : x
  2. Step 2: Convert to fraction form
    26,075.25/53,070.75 = 53,070.75/x
  3. Step 3: Cross multiply
    26,075.25x = 53,070.75 × 53,070.75
  4. Step 4: Simplify right side
    26,075.25x = 2,816,504,505.56
  5. Step 5: Solve for x
    x = 2,816,504,505.56/26,075.25
  6. Step 6: Final answer
    x = 108,014.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.