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Finding the Third Proportional to 39,147.75 and 85,630.50

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Solution

The third proportional to 39,147.75 and 85,630.50 is: 187,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,147.75 : 85,630.50 = 85,630.50 : x
  2. Step 2: Convert to fraction form
    39,147.75/85,630.50 = 85,630.50/x
  3. Step 3: Cross multiply
    39,147.75x = 85,630.50 × 85,630.50
  4. Step 4: Simplify right side
    39,147.75x = 7,332,582,530.25
  5. Step 5: Solve for x
    x = 7,332,582,530.25/39,147.75
  6. Step 6: Final answer
    x = 187,305.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.