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Finding the Third Proportional to 1,629.09 and 3,549.19

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Solution

The third proportional to 1,629.09 and 3,549.19 is: 7,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.09 : 3,549.19 = 3,549.19 : x
  2. Step 2: Convert to fraction form
    1,629.09/3,549.19 = 3,549.19/x
  3. Step 3: Cross multiply
    1,629.09x = 3,549.19 × 3,549.19
  4. Step 4: Simplify right side
    1,629.09x = 12,596,731.91
  5. Step 5: Solve for x
    x = 12,596,731.91/1,629.09
  6. Step 6: Final answer
    x = 7,732.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.