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Finding the Third Proportional to 1,917.42 and 3,836.74

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Solution

The third proportional to 1,917.42 and 3,836.74 is: 7,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 3,836.74 = 3,836.74 : x
  2. Step 2: Convert to fraction form
    1,917.42/3,836.74 = 3,836.74/x
  3. Step 3: Cross multiply
    1,917.42x = 3,836.74 × 3,836.74
  4. Step 4: Simplify right side
    1,917.42x = 14,720,590.61
  5. Step 5: Solve for x
    x = 14,720,590.61/1,917.42
  6. Step 6: Final answer
    x = 7,677.28

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.