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Finding the Third Proportional to 30,377.25 and 40,893.75

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Solution

The third proportional to 30,377.25 and 40,893.75 is: 55,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.25 : 40,893.75 = 40,893.75 : x
  2. Step 2: Convert to fraction form
    30,377.25/40,893.75 = 40,893.75/x
  3. Step 3: Cross multiply
    30,377.25x = 40,893.75 × 40,893.75
  4. Step 4: Simplify right side
    30,377.25x = 1,672,298,789.06
  5. Step 5: Solve for x
    x = 1,672,298,789.06/30,377.25
  6. Step 6: Final answer
    x = 55,051.03

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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.