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Finding the Third Proportional to 855.84 and 1,848.23

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Solution

The third proportional to 855.84 and 1,848.23 is: 3,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,848.23 = 1,848.23 : x
  2. Step 2: Convert to fraction form
    855.84/1,848.23 = 1,848.23/x
  3. Step 3: Cross multiply
    855.84x = 1,848.23 × 1,848.23
  4. Step 4: Simplify right side
    855.84x = 3,415,970.30
  5. Step 5: Solve for x
    x = 3,415,970.30/855.84
  6. Step 6: Final answer
    x = 3,991.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.