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Finding the Third Proportional to 40,458.50 and 82,523

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Solution

The third proportional to 40,458.50 and 82,523 is: 168,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,458.50 : 82,523 = 82,523 : x
  2. Step 2: Convert to fraction form
    40,458.50/82,523 = 82,523/x
  3. Step 3: Cross multiply
    40,458.50x = 82,523 × 82,523
  4. Step 4: Simplify right side
    40,458.50x = 6,810,045,529
  5. Step 5: Solve for x
    x = 6,810,045,529/40,458.50
  6. Step 6: Final answer
    x = 168,321.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.