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Finding the Third Proportional to 1,674.42 and 4,398.68

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Solution

The third proportional to 1,674.42 and 4,398.68 is: 11,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.42 : 4,398.68 = 4,398.68 : x
  2. Step 2: Convert to fraction form
    1,674.42/4,398.68 = 4,398.68/x
  3. Step 3: Cross multiply
    1,674.42x = 4,398.68 × 4,398.68
  4. Step 4: Simplify right side
    1,674.42x = 19,348,382.99
  5. Step 5: Solve for x
    x = 19,348,382.99/1,674.42
  6. Step 6: Final answer
    x = 11,555.26

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.