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Finding the Third Proportional to 37,014.75 and 81,063

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Solution

The third proportional to 37,014.75 and 81,063 is: 177,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014.75 : 81,063 = 81,063 : x
  2. Step 2: Convert to fraction form
    37,014.75/81,063 = 81,063/x
  3. Step 3: Cross multiply
    37,014.75x = 81,063 × 81,063
  4. Step 4: Simplify right side
    37,014.75x = 6,571,209,969
  5. Step 5: Solve for x
    x = 6,571,209,969/37,014.75
  6. Step 6: Final answer
    x = 177,529.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.