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Finding the Third Proportional to 41,004 and 90,033.75

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Solution

The third proportional to 41,004 and 90,033.75 is: 197,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,004 : 90,033.75 = 90,033.75 : x
  2. Step 2: Convert to fraction form
    41,004/90,033.75 = 90,033.75/x
  3. Step 3: Cross multiply
    41,004x = 90,033.75 × 90,033.75
  4. Step 4: Simplify right side
    41,004x = 8,106,076,139.06
  5. Step 5: Solve for x
    x = 8,106,076,139.06/41,004
  6. Step 6: Final answer
    x = 197,689.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.