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Finding the Third Proportional to 38,548.50 and 56,181.94

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Solution

The third proportional to 38,548.50 and 56,181.94 is: 81,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.50 : 56,181.94 = 56,181.94 : x
  2. Step 2: Convert to fraction form
    38,548.50/56,181.94 = 56,181.94/x
  3. Step 3: Cross multiply
    38,548.50x = 56,181.94 × 56,181.94
  4. Step 4: Simplify right side
    38,548.50x = 3,156,410,101.25
  5. Step 5: Solve for x
    x = 3,156,410,101.25/38,548.50
  6. Step 6: Final answer
    x = 81,881.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.