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Finding the Third Proportional to 10,833.75 and 25,305.75

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Solution

The third proportional to 10,833.75 and 25,305.75 is: 59,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.75 : 25,305.75 = 25,305.75 : x
  2. Step 2: Convert to fraction form
    10,833.75/25,305.75 = 25,305.75/x
  3. Step 3: Cross multiply
    10,833.75x = 25,305.75 × 25,305.75
  4. Step 4: Simplify right side
    10,833.75x = 640,380,983.06
  5. Step 5: Solve for x
    x = 640,380,983.06/10,833.75
  6. Step 6: Final answer
    x = 59,109.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.