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Finding the Third Proportional to 39,823 and 54,115.50

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Solution

The third proportional to 39,823 and 54,115.50 is: 73,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823 : 54,115.50 = 54,115.50 : x
  2. Step 2: Convert to fraction form
    39,823/54,115.50 = 54,115.50/x
  3. Step 3: Cross multiply
    39,823x = 54,115.50 × 54,115.50
  4. Step 4: Simplify right side
    39,823x = 2,928,487,340.25
  5. Step 5: Solve for x
    x = 2,928,487,340.25/39,823
  6. Step 6: Final answer
    x = 73,537.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.