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Finding the Third Proportional to 33,812.50 and 48,980.75

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Solution

The third proportional to 33,812.50 and 48,980.75 is: 70,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.50 : 48,980.75 = 48,980.75 : x
  2. Step 2: Convert to fraction form
    33,812.50/48,980.75 = 48,980.75/x
  3. Step 3: Cross multiply
    33,812.50x = 48,980.75 × 48,980.75
  4. Step 4: Simplify right side
    33,812.50x = 2,399,113,870.56
  5. Step 5: Solve for x
    x = 2,399,113,870.56/33,812.50
  6. Step 6: Final answer
    x = 70,953.46

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.