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Finding the Third Proportional to 25,022.25 and 33,702.75

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Solution

The third proportional to 25,022.25 and 33,702.75 is: 45,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022.25 : 33,702.75 = 33,702.75 : x
  2. Step 2: Convert to fraction form
    25,022.25/33,702.75 = 33,702.75/x
  3. Step 3: Cross multiply
    25,022.25x = 33,702.75 × 33,702.75
  4. Step 4: Simplify right side
    25,022.25x = 1,135,875,357.56
  5. Step 5: Solve for x
    x = 1,135,875,357.56/25,022.25
  6. Step 6: Final answer
    x = 45,394.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.