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Finding the Third Proportional to 38,278.50 and 56,080.50

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Solution

The third proportional to 38,278.50 and 56,080.50 is: 82,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.50 : 56,080.50 = 56,080.50 : x
  2. Step 2: Convert to fraction form
    38,278.50/56,080.50 = 56,080.50/x
  3. Step 3: Cross multiply
    38,278.50x = 56,080.50 × 56,080.50
  4. Step 4: Simplify right side
    38,278.50x = 3,145,022,480.25
  5. Step 5: Solve for x
    x = 3,145,022,480.25/38,278.50
  6. Step 6: Final answer
    x = 82,161.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.