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Finding the Third Proportional to 33,265 and 48,925.50

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Solution

The third proportional to 33,265 and 48,925.50 is: 71,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265 : 48,925.50 = 48,925.50 : x
  2. Step 2: Convert to fraction form
    33,265/48,925.50 = 48,925.50/x
  3. Step 3: Cross multiply
    33,265x = 48,925.50 × 48,925.50
  4. Step 4: Simplify right side
    33,265x = 2,393,704,550.25
  5. Step 5: Solve for x
    x = 2,393,704,550.25/33,265
  6. Step 6: Final answer
    x = 71,958.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.