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Finding the Third Proportional to 837 and 1,822.50

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Solution

The third proportional to 837 and 1,822.50 is: 3,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    837 : 1,822.50 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    837/1,822.50 = 1,822.50/x
  3. Step 3: Cross multiply
    837x = 1,822.50 × 1,822.50
  4. Step 4: Simplify right side
    837x = 3,321,506.25
  5. Step 5: Solve for x
    x = 3,321,506.25/837
  6. Step 6: Final answer
    x = 3,968.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.