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Finding the Third Proportional to 40,825 and 62,452.50

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Solution

The third proportional to 40,825 and 62,452.50 is: 95,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,825 : 62,452.50 = 62,452.50 : x
  2. Step 2: Convert to fraction form
    40,825/62,452.50 = 62,452.50/x
  3. Step 3: Cross multiply
    40,825x = 62,452.50 × 62,452.50
  4. Step 4: Simplify right side
    40,825x = 3,900,314,756.25
  5. Step 5: Solve for x
    x = 3,900,314,756.25/40,825
  6. Step 6: Final answer
    x = 95,537.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.