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Finding the Third Proportional to 2,049 and 3,250.50

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Solution

The third proportional to 2,049 and 3,250.50 is: 5,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049 : 3,250.50 = 3,250.50 : x
  2. Step 2: Convert to fraction form
    2,049/3,250.50 = 3,250.50/x
  3. Step 3: Cross multiply
    2,049x = 3,250.50 × 3,250.50
  4. Step 4: Simplify right side
    2,049x = 10,565,750.25
  5. Step 5: Solve for x
    x = 10,565,750.25/2,049
  6. Step 6: Final answer
    x = 5,156.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.