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Finding the Third Proportional to 3,223 and 3,703

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Solution

The third proportional to 3,223 and 3,703 is: 4,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 3,703 = 3,703 : x
  2. Step 2: Convert to fraction form
    3,223/3,703 = 3,703/x
  3. Step 3: Cross multiply
    3,223x = 3,703 × 3,703
  4. Step 4: Simplify right side
    3,223x = 13,712,209
  5. Step 5: Solve for x
    x = 13,712,209/3,223
  6. Step 6: Final answer
    x = 4,254.49

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.