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Finding the Third Proportional to 3,203 and 4,732.50

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Solution

The third proportional to 3,203 and 4,732.50 is: 6,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,732.50 = 4,732.50 : x
  2. Step 2: Convert to fraction form
    3,203/4,732.50 = 4,732.50/x
  3. Step 3: Cross multiply
    3,203x = 4,732.50 × 4,732.50
  4. Step 4: Simplify right side
    3,203x = 22,396,556.25
  5. Step 5: Solve for x
    x = 22,396,556.25/3,203
  6. Step 6: Final answer
    x = 6,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.