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Finding the Third Proportional to 1,677 and 3,304

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Solution

The third proportional to 1,677 and 3,304 is: 6,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 3,304 = 3,304 : x
  2. Step 2: Convert to fraction form
    1,677/3,304 = 3,304/x
  3. Step 3: Cross multiply
    1,677x = 3,304 × 3,304
  4. Step 4: Simplify right side
    1,677x = 10,916,416
  5. Step 5: Solve for x
    x = 10,916,416/1,677
  6. Step 6: Final answer
    x = 6,509.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.