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Finding the Third Proportional to 1,646 and 4,034

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Solution

The third proportional to 1,646 and 4,034 is: 9,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 4,034 = 4,034 : x
  2. Step 2: Convert to fraction form
    1,646/4,034 = 4,034/x
  3. Step 3: Cross multiply
    1,646x = 4,034 × 4,034
  4. Step 4: Simplify right side
    1,646x = 16,273,156
  5. Step 5: Solve for x
    x = 16,273,156/1,646
  6. Step 6: Final answer
    x = 9,886.49

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.