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Finding the Third Proportional to 30,181.50 and 41,809.50

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Solution

The third proportional to 30,181.50 and 41,809.50 is: 57,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.50 : 41,809.50 = 41,809.50 : x
  2. Step 2: Convert to fraction form
    30,181.50/41,809.50 = 41,809.50/x
  3. Step 3: Cross multiply
    30,181.50x = 41,809.50 × 41,809.50
  4. Step 4: Simplify right side
    30,181.50x = 1,748,034,290.25
  5. Step 5: Solve for x
    x = 1,748,034,290.25/30,181.50
  6. Step 6: Final answer
    x = 57,917.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.