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Finding the Third Proportional to 48,530 and 72,861

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Solution

The third proportional to 48,530 and 72,861 is: 109,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530 : 72,861 = 72,861 : x
  2. Step 2: Convert to fraction form
    48,530/72,861 = 72,861/x
  3. Step 3: Cross multiply
    48,530x = 72,861 × 72,861
  4. Step 4: Simplify right side
    48,530x = 5,308,725,321
  5. Step 5: Solve for x
    x = 5,308,725,321/48,530
  6. Step 6: Final answer
    x = 109,390.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.