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Finding the Third Proportional to 37,246.50 and 79,823.25

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Solution

The third proportional to 37,246.50 and 79,823.25 is: 171,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,246.50 : 79,823.25 = 79,823.25 : x
  2. Step 2: Convert to fraction form
    37,246.50/79,823.25 = 79,823.25/x
  3. Step 3: Cross multiply
    37,246.50x = 79,823.25 × 79,823.25
  4. Step 4: Simplify right side
    37,246.50x = 6,371,751,240.56
  5. Step 5: Solve for x
    x = 6,371,751,240.56/37,246.50
  6. Step 6: Final answer
    x = 171,069.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.