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Finding the Third Proportional to 37,039 and 81,462.75

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Solution

The third proportional to 37,039 and 81,462.75 is: 179,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 81,462.75 = 81,462.75 : x
  2. Step 2: Convert to fraction form
    37,039/81,462.75 = 81,462.75/x
  3. Step 3: Cross multiply
    37,039x = 81,462.75 × 81,462.75
  4. Step 4: Simplify right side
    37,039x = 6,636,179,637.56
  5. Step 5: Solve for x
    x = 6,636,179,637.56/37,039
  6. Step 6: Final answer
    x = 179,167.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.