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Finding the Third Proportional to 41,483 and 91,030

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Solution

The third proportional to 41,483 and 91,030 is: 199,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,483 : 91,030 = 91,030 : x
  2. Step 2: Convert to fraction form
    41,483/91,030 = 91,030/x
  3. Step 3: Cross multiply
    41,483x = 91,030 × 91,030
  4. Step 4: Simplify right side
    41,483x = 8,286,460,900
  5. Step 5: Solve for x
    x = 8,286,460,900/41,483
  6. Step 6: Final answer
    x = 199,755.58

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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.