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Finding the Third Proportional to 40,329 and 92,566.50

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Solution

The third proportional to 40,329 and 92,566.50 is: 212,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,329 : 92,566.50 = 92,566.50 : x
  2. Step 2: Convert to fraction form
    40,329/92,566.50 = 92,566.50/x
  3. Step 3: Cross multiply
    40,329x = 92,566.50 × 92,566.50
  4. Step 4: Simplify right side
    40,329x = 8,568,556,922.25
  5. Step 5: Solve for x
    x = 8,568,556,922.25/40,329
  6. Step 6: Final answer
    x = 212,466.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.