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Finding the Third Proportional to 35,628.75 and 51,761.25

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Solution

The third proportional to 35,628.75 and 51,761.25 is: 75,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,628.75 : 51,761.25 = 51,761.25 : x
  2. Step 2: Convert to fraction form
    35,628.75/51,761.25 = 51,761.25/x
  3. Step 3: Cross multiply
    35,628.75x = 51,761.25 × 51,761.25
  4. Step 4: Simplify right side
    35,628.75x = 2,679,227,001.56
  5. Step 5: Solve for x
    x = 2,679,227,001.56/35,628.75
  6. Step 6: Final answer
    x = 75,198.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.