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Finding the Third Proportional to 48,635.44 and 104,773.50

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Solution

The third proportional to 48,635.44 and 104,773.50 is: 225,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,635.44 : 104,773.50 = 104,773.50 : x
  2. Step 2: Convert to fraction form
    48,635.44/104,773.50 = 104,773.50/x
  3. Step 3: Cross multiply
    48,635.44x = 104,773.50 × 104,773.50
  4. Step 4: Simplify right side
    48,635.44x = 10,977,486,302.25
  5. Step 5: Solve for x
    x = 10,977,486,302.25/48,635.44
  6. Step 6: Final answer
    x = 225,709.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.