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Finding the Third Proportional to 37,460.81 and 80,252.44

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Solution

The third proportional to 37,460.81 and 80,252.44 is: 171,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,460.81 : 80,252.44 = 80,252.44 : x
  2. Step 2: Convert to fraction form
    37,460.81/80,252.44 = 80,252.44/x
  3. Step 3: Cross multiply
    37,460.81x = 80,252.44 × 80,252.44
  4. Step 4: Simplify right side
    37,460.81x = 6,440,453,724.69
  5. Step 5: Solve for x
    x = 6,440,453,724.69/37,460.81
  6. Step 6: Final answer
    x = 171,925.09

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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.