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Finding the Third Proportional to 10,917.75 and 25,664.25

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Solution

The third proportional to 10,917.75 and 25,664.25 is: 60,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.75 : 25,664.25 = 25,664.25 : x
  2. Step 2: Convert to fraction form
    10,917.75/25,664.25 = 25,664.25/x
  3. Step 3: Cross multiply
    10,917.75x = 25,664.25 × 25,664.25
  4. Step 4: Simplify right side
    10,917.75x = 658,653,728.06
  5. Step 5: Solve for x
    x = 658,653,728.06/10,917.75
  6. Step 6: Final answer
    x = 60,328.71

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.