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Finding the Third Proportional to 1,763 and 3,854.50

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Solution

The third proportional to 1,763 and 3,854.50 is: 8,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763 : 3,854.50 = 3,854.50 : x
  2. Step 2: Convert to fraction form
    1,763/3,854.50 = 3,854.50/x
  3. Step 3: Cross multiply
    1,763x = 3,854.50 × 3,854.50
  4. Step 4: Simplify right side
    1,763x = 14,857,170.25
  5. Step 5: Solve for x
    x = 14,857,170.25/1,763
  6. Step 6: Final answer
    x = 8,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.