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Finding the Third Proportional to 64,865.25 and 82,883.25

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Solution

The third proportional to 64,865.25 and 82,883.25 is: 105,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,865.25 : 82,883.25 = 82,883.25 : x
  2. Step 2: Convert to fraction form
    64,865.25/82,883.25 = 82,883.25/x
  3. Step 3: Cross multiply
    64,865.25x = 82,883.25 × 82,883.25
  4. Step 4: Simplify right side
    64,865.25x = 6,869,633,130.56
  5. Step 5: Solve for x
    x = 6,869,633,130.56/64,865.25
  6. Step 6: Final answer
    x = 105,906.22

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.