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Finding the Third Proportional to 35,007 and 51,961

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Solution

The third proportional to 35,007 and 51,961 is: 77,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,007 : 51,961 = 51,961 : x
  2. Step 2: Convert to fraction form
    35,007/51,961 = 51,961/x
  3. Step 3: Cross multiply
    35,007x = 51,961 × 51,961
  4. Step 4: Simplify right side
    35,007x = 2,699,945,521
  5. Step 5: Solve for x
    x = 2,699,945,521/35,007
  6. Step 6: Final answer
    x = 77,125.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.