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Finding the Third Proportional to 25,142.06 and 33,675.75

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Solution

The third proportional to 25,142.06 and 33,675.75 is: 45,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.06 : 33,675.75 = 33,675.75 : x
  2. Step 2: Convert to fraction form
    25,142.06/33,675.75 = 33,675.75/x
  3. Step 3: Cross multiply
    25,142.06x = 33,675.75 × 33,675.75
  4. Step 4: Simplify right side
    25,142.06x = 1,134,056,138.06
  5. Step 5: Solve for x
    x = 1,134,056,138.06/25,142.06
  6. Step 6: Final answer
    x = 45,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.