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Finding the Third Proportional to 37,623.23 and 50,181.40

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Solution

The third proportional to 37,623.23 and 50,181.40 is: 66,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,623.23 : 50,181.40 = 50,181.40 : x
  2. Step 2: Convert to fraction form
    37,623.23/50,181.40 = 50,181.40/x
  3. Step 3: Cross multiply
    37,623.23x = 50,181.40 × 50,181.40
  4. Step 4: Simplify right side
    37,623.23x = 2,518,172,749.14
  5. Step 5: Solve for x
    x = 2,518,172,749.14/37,623.23
  6. Step 6: Final answer
    x = 66,931.32

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.