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Finding the Third Proportional to 1,794.56 and 3,848.81

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Solution

The third proportional to 1,794.56 and 3,848.81 is: 8,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.56 : 3,848.81 = 3,848.81 : x
  2. Step 2: Convert to fraction form
    1,794.56/3,848.81 = 3,848.81/x
  3. Step 3: Cross multiply
    1,794.56x = 3,848.81 × 3,848.81
  4. Step 4: Simplify right side
    1,794.56x = 14,813,357.66
  5. Step 5: Solve for x
    x = 14,813,357.66/1,794.56
  6. Step 6: Final answer
    x = 8,254.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.