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Finding the Third Proportional to 41,484.50 and 91,033

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Solution

The third proportional to 41,484.50 and 91,033 is: 199,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,484.50 : 91,033 = 91,033 : x
  2. Step 2: Convert to fraction form
    41,484.50/91,033 = 91,033/x
  3. Step 3: Cross multiply
    41,484.50x = 91,033 × 91,033
  4. Step 4: Simplify right side
    41,484.50x = 8,287,007,089
  5. Step 5: Solve for x
    x = 8,287,007,089/41,484.50
  6. Step 6: Final answer
    x = 199,761.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.