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Finding the Third Proportional to 1,343.67 and 2,075.41

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Solution

The third proportional to 1,343.67 and 2,075.41 is: 3,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.67 : 2,075.41 = 2,075.41 : x
  2. Step 2: Convert to fraction form
    1,343.67/2,075.41 = 2,075.41/x
  3. Step 3: Cross multiply
    1,343.67x = 2,075.41 × 2,075.41
  4. Step 4: Simplify right side
    1,343.67x = 4,307,343.53
  5. Step 5: Solve for x
    x = 4,307,343.53/1,343.67
  6. Step 6: Final answer
    x = 3,205.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.