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Finding the Third Proportional to 37,891.50 and 79,710

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Solution

The third proportional to 37,891.50 and 79,710 is: 167,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.50 : 79,710 = 79,710 : x
  2. Step 2: Convert to fraction form
    37,891.50/79,710 = 79,710/x
  3. Step 3: Cross multiply
    37,891.50x = 79,710 × 79,710
  4. Step 4: Simplify right side
    37,891.50x = 6,353,684,100
  5. Step 5: Solve for x
    x = 6,353,684,100/37,891.50
  6. Step 6: Final answer
    x = 167,680.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.