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Finding the Third Proportional to 1,738.13 and 3,672.84

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Solution

The third proportional to 1,738.13 and 3,672.84 is: 7,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.13 : 3,672.84 = 3,672.84 : x
  2. Step 2: Convert to fraction form
    1,738.13/3,672.84 = 3,672.84/x
  3. Step 3: Cross multiply
    1,738.13x = 3,672.84 × 3,672.84
  4. Step 4: Simplify right side
    1,738.13x = 13,489,781.21
  5. Step 5: Solve for x
    x = 13,489,781.21/1,738.13
  6. Step 6: Final answer
    x = 7,761.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.