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Finding the Third Proportional to 48,478.50 and 72,769.50

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Solution

The third proportional to 48,478.50 and 72,769.50 is: 109,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478.50 : 72,769.50 = 72,769.50 : x
  2. Step 2: Convert to fraction form
    48,478.50/72,769.50 = 72,769.50/x
  3. Step 3: Cross multiply
    48,478.50x = 72,769.50 × 72,769.50
  4. Step 4: Simplify right side
    48,478.50x = 5,295,400,130.25
  5. Step 5: Solve for x
    x = 5,295,400,130.25/48,478.50
  6. Step 6: Final answer
    x = 109,231.93

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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.