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Finding the Third Proportional to 33,142.50 and 48,148.50

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Solution

The third proportional to 33,142.50 and 48,148.50 is: 69,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.50 : 48,148.50 = 48,148.50 : x
  2. Step 2: Convert to fraction form
    33,142.50/48,148.50 = 48,148.50/x
  3. Step 3: Cross multiply
    33,142.50x = 48,148.50 × 48,148.50
  4. Step 4: Simplify right side
    33,142.50x = 2,318,278,052.25
  5. Step 5: Solve for x
    x = 2,318,278,052.25/33,142.50
  6. Step 6: Final answer
    x = 69,948.80

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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.