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Finding the Third Proportional to 30,715.50 and 41,941.50

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Solution

The third proportional to 30,715.50 and 41,941.50 is: 57,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.50 : 41,941.50 = 41,941.50 : x
  2. Step 2: Convert to fraction form
    30,715.50/41,941.50 = 41,941.50/x
  3. Step 3: Cross multiply
    30,715.50x = 41,941.50 × 41,941.50
  4. Step 4: Simplify right side
    30,715.50x = 1,759,089,422.25
  5. Step 5: Solve for x
    x = 1,759,089,422.25/30,715.50
  6. Step 6: Final answer
    x = 57,270.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.