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Finding the Third Proportional to 30,523.50 and 41,917.50

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Solution

The third proportional to 30,523.50 and 41,917.50 is: 57,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.50 : 41,917.50 = 41,917.50 : x
  2. Step 2: Convert to fraction form
    30,523.50/41,917.50 = 41,917.50/x
  3. Step 3: Cross multiply
    30,523.50x = 41,917.50 × 41,917.50
  4. Step 4: Simplify right side
    30,523.50x = 1,757,076,806.25
  5. Step 5: Solve for x
    x = 1,757,076,806.25/30,523.50
  6. Step 6: Final answer
    x = 57,564.72

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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.