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Finding the Third Proportional to 2,075.06 and 3,353.06

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Solution

The third proportional to 2,075.06 and 3,353.06 is: 5,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.06 : 3,353.06 = 3,353.06 : x
  2. Step 2: Convert to fraction form
    2,075.06/3,353.06 = 3,353.06/x
  3. Step 3: Cross multiply
    2,075.06x = 3,353.06 × 3,353.06
  4. Step 4: Simplify right side
    2,075.06x = 11,243,028.13
  5. Step 5: Solve for x
    x = 11,243,028.13/2,075.06
  6. Step 6: Final answer
    x = 5,418.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.