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Finding the Third Proportional to 48,493.69 and 72,806.34

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Solution

The third proportional to 48,493.69 and 72,806.34 is: 109,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.69 : 72,806.34 = 72,806.34 : x
  2. Step 2: Convert to fraction form
    48,493.69/72,806.34 = 72,806.34/x
  3. Step 3: Cross multiply
    48,493.69x = 72,806.34 × 72,806.34
  4. Step 4: Simplify right side
    48,493.69x = 5,300,763,690.24
  5. Step 5: Solve for x
    x = 5,300,763,690.24/48,493.69
  6. Step 6: Final answer
    x = 109,308.32

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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.