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Finding the Third Proportional to 30,633.75 and 41,575.50

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Solution

The third proportional to 30,633.75 and 41,575.50 is: 56,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.75 : 41,575.50 = 41,575.50 : x
  2. Step 2: Convert to fraction form
    30,633.75/41,575.50 = 41,575.50/x
  3. Step 3: Cross multiply
    30,633.75x = 41,575.50 × 41,575.50
  4. Step 4: Simplify right side
    30,633.75x = 1,728,522,200.25
  5. Step 5: Solve for x
    x = 1,728,522,200.25/30,633.75
  6. Step 6: Final answer
    x = 56,425.42

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