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Finding the Third Proportional to 1,629.84 and 2,525.06

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Solution

The third proportional to 1,629.84 and 2,525.06 is: 3,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.84 : 2,525.06 = 2,525.06 : x
  2. Step 2: Convert to fraction form
    1,629.84/2,525.06 = 2,525.06/x
  3. Step 3: Cross multiply
    1,629.84x = 2,525.06 × 2,525.06
  4. Step 4: Simplify right side
    1,629.84x = 6,375,940.63
  5. Step 5: Solve for x
    x = 6,375,940.63/1,629.84
  6. Step 6: Final answer
    x = 3,912.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.