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Finding the Third Proportional to 3,231 and 7,071.75

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Solution

The third proportional to 3,231 and 7,071.75 is: 15,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 7,071.75 = 7,071.75 : x
  2. Step 2: Convert to fraction form
    3,231/7,071.75 = 7,071.75/x
  3. Step 3: Cross multiply
    3,231x = 7,071.75 × 7,071.75
  4. Step 4: Simplify right side
    3,231x = 50,009,648.06
  5. Step 5: Solve for x
    x = 50,009,648.06/3,231
  6. Step 6: Final answer
    x = 15,478.07

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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.