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Finding the Third Proportional to 3,428 and 5,233

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Solution

The third proportional to 3,428 and 5,233 is: 7,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428 : 5,233 = 5,233 : x
  2. Step 2: Convert to fraction form
    3,428/5,233 = 5,233/x
  3. Step 3: Cross multiply
    3,428x = 5,233 × 5,233
  4. Step 4: Simplify right side
    3,428x = 27,384,289
  5. Step 5: Solve for x
    x = 27,384,289/3,428
  6. Step 6: Final answer
    x = 7,988.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.