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Finding the Third Proportional to 1,193 and 2,129.50

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Solution

The third proportional to 1,193 and 2,129.50 is: 3,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193 : 2,129.50 = 2,129.50 : x
  2. Step 2: Convert to fraction form
    1,193/2,129.50 = 2,129.50/x
  3. Step 3: Cross multiply
    1,193x = 2,129.50 × 2,129.50
  4. Step 4: Simplify right side
    1,193x = 4,534,770.25
  5. Step 5: Solve for x
    x = 4,534,770.25/1,193
  6. Step 6: Final answer
    x = 3,801.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.