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Finding the Third Proportional to 39,481 and 51,223

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Solution

The third proportional to 39,481 and 51,223 is: 66,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 51,223 = 51,223 : x
  2. Step 2: Convert to fraction form
    39,481/51,223 = 51,223/x
  3. Step 3: Cross multiply
    39,481x = 51,223 × 51,223
  4. Step 4: Simplify right side
    39,481x = 2,623,795,729
  5. Step 5: Solve for x
    x = 2,623,795,729/39,481
  6. Step 6: Final answer
    x = 66,457.18

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.