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Finding the Third Proportional to 34,125.09 and 51,664.97

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Solution

The third proportional to 34,125.09 and 51,664.97 is: 78,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.09 : 51,664.97 = 51,664.97 : x
  2. Step 2: Convert to fraction form
    34,125.09/51,664.97 = 51,664.97/x
  3. Step 3: Cross multiply
    34,125.09x = 51,664.97 × 51,664.97
  4. Step 4: Simplify right side
    34,125.09x = 2,669,268,995.94
  5. Step 5: Solve for x
    x = 2,669,268,995.94/34,125.09
  6. Step 6: Final answer
    x = 78,220.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.