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Finding the Third Proportional to 1,881.35 and 3,350.74

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Solution

The third proportional to 1,881.35 and 3,350.74 is: 5,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.35 : 3,350.74 = 3,350.74 : x
  2. Step 2: Convert to fraction form
    1,881.35/3,350.74 = 3,350.74/x
  3. Step 3: Cross multiply
    1,881.35x = 3,350.74 × 3,350.74
  4. Step 4: Simplify right side
    1,881.35x = 11,227,473.21
  5. Step 5: Solve for x
    x = 11,227,473.21/1,881.35
  6. Step 6: Final answer
    x = 5,967.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.