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Finding the Third Proportional to 3,521 and 5,302

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Solution

The third proportional to 3,521 and 5,302 is: 7,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521 : 5,302 = 5,302 : x
  2. Step 2: Convert to fraction form
    3,521/5,302 = 5,302/x
  3. Step 3: Cross multiply
    3,521x = 5,302 × 5,302
  4. Step 4: Simplify right side
    3,521x = 28,111,204
  5. Step 5: Solve for x
    x = 28,111,204/3,521
  6. Step 6: Final answer
    x = 7,983.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.