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Finding the Third Proportional to 1,452.75 and 2,075.75

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Solution

The third proportional to 1,452.75 and 2,075.75 is: 2,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.75 : 2,075.75 = 2,075.75 : x
  2. Step 2: Convert to fraction form
    1,452.75/2,075.75 = 2,075.75/x
  3. Step 3: Cross multiply
    1,452.75x = 2,075.75 × 2,075.75
  4. Step 4: Simplify right side
    1,452.75x = 4,308,738.06
  5. Step 5: Solve for x
    x = 4,308,738.06/1,452.75
  6. Step 6: Final answer
    x = 2,965.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.