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Finding the Third Proportional to 36,746.44 and 54,975.94

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Solution

The third proportional to 36,746.44 and 54,975.94 is: 82,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746.44 : 54,975.94 = 54,975.94 : x
  2. Step 2: Convert to fraction form
    36,746.44/54,975.94 = 54,975.94/x
  3. Step 3: Cross multiply
    36,746.44x = 54,975.94 × 54,975.94
  4. Step 4: Simplify right side
    36,746.44x = 3,022,353,704.00
  5. Step 5: Solve for x
    x = 3,022,353,704.00/36,746.44
  6. Step 6: Final answer
    x = 82,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.