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Finding the Third Proportional to 39,228.75 and 94,558.50

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Solution

The third proportional to 39,228.75 and 94,558.50 is: 227,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228.75 : 94,558.50 = 94,558.50 : x
  2. Step 2: Convert to fraction form
    39,228.75/94,558.50 = 94,558.50/x
  3. Step 3: Cross multiply
    39,228.75x = 94,558.50 × 94,558.50
  4. Step 4: Simplify right side
    39,228.75x = 8,941,309,922.25
  5. Step 5: Solve for x
    x = 8,941,309,922.25/39,228.75
  6. Step 6: Final answer
    x = 227,927.47

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.