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Finding the Third Proportional to 1,910.14 and 3,039.40

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Solution

The third proportional to 1,910.14 and 3,039.40 is: 4,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.14 : 3,039.40 = 3,039.40 : x
  2. Step 2: Convert to fraction form
    1,910.14/3,039.40 = 3,039.40/x
  3. Step 3: Cross multiply
    1,910.14x = 3,039.40 × 3,039.40
  4. Step 4: Simplify right side
    1,910.14x = 9,237,942.86
  5. Step 5: Solve for x
    x = 9,237,942.86/1,910.14
  6. Step 6: Final answer
    x = 4,836.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.