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Finding the Third Proportional to 841.78 and 1,965.94

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Solution

The third proportional to 841.78 and 1,965.94 is: 4,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,965.94 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    841.78/1,965.94 = 1,965.94/x
  3. Step 3: Cross multiply
    841.78x = 1,965.94 × 1,965.94
  4. Step 4: Simplify right side
    841.78x = 3,864,910.25
  5. Step 5: Solve for x
    x = 3,864,910.25/841.78
  6. Step 6: Final answer
    x = 4,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.