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Finding the Third Proportional to 37,316.95 and 78,091.59

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Solution

The third proportional to 37,316.95 and 78,091.59 is: 163,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,316.95 : 78,091.59 = 78,091.59 : x
  2. Step 2: Convert to fraction form
    37,316.95/78,091.59 = 78,091.59/x
  3. Step 3: Cross multiply
    37,316.95x = 78,091.59 × 78,091.59
  4. Step 4: Simplify right side
    37,316.95x = 6,098,297,014.42
  5. Step 5: Solve for x
    x = 6,098,297,014.42/37,316.95
  6. Step 6: Final answer
    x = 163,418.94

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.