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Finding the Third Proportional to 26,805 and 57,075.75

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Solution

The third proportional to 26,805 and 57,075.75 is: 121,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805 : 57,075.75 = 57,075.75 : x
  2. Step 2: Convert to fraction form
    26,805/57,075.75 = 57,075.75/x
  3. Step 3: Cross multiply
    26,805x = 57,075.75 × 57,075.75
  4. Step 4: Simplify right side
    26,805x = 3,257,641,238.06
  5. Step 5: Solve for x
    x = 3,257,641,238.06/26,805
  6. Step 6: Final answer
    x = 121,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.