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Finding the Third Proportional to 37,030.50 and 80,213.63

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Solution

The third proportional to 37,030.50 and 80,213.63 is: 173,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,030.50 : 80,213.63 = 80,213.63 : x
  2. Step 2: Convert to fraction form
    37,030.50/80,213.63 = 80,213.63/x
  3. Step 3: Cross multiply
    37,030.50x = 80,213.63 × 80,213.63
  4. Step 4: Simplify right side
    37,030.50x = 6,434,225,635.64
  5. Step 5: Solve for x
    x = 6,434,225,635.64/37,030.50
  6. Step 6: Final answer
    x = 173,754.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.