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Finding the Third Proportional to 35,304 and 51,006

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Solution

The third proportional to 35,304 and 51,006 is: 73,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,304 : 51,006 = 51,006 : x
  2. Step 2: Convert to fraction form
    35,304/51,006 = 51,006/x
  3. Step 3: Cross multiply
    35,304x = 51,006 × 51,006
  4. Step 4: Simplify right side
    35,304x = 2,601,612,036
  5. Step 5: Solve for x
    x = 2,601,612,036/35,304
  6. Step 6: Final answer
    x = 73,691.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.