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Finding the Third Proportional to 1,738.13 and 3,591.38

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Solution

The third proportional to 1,738.13 and 3,591.38 is: 7,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.13 : 3,591.38 = 3,591.38 : x
  2. Step 2: Convert to fraction form
    1,738.13/3,591.38 = 3,591.38/x
  3. Step 3: Cross multiply
    1,738.13x = 3,591.38 × 3,591.38
  4. Step 4: Simplify right side
    1,738.13x = 12,897,974.39
  5. Step 5: Solve for x
    x = 12,897,974.39/1,738.13
  6. Step 6: Final answer
    x = 7,420.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.