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Finding the Third Proportional to 33,258 and 48,793.50

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Solution

The third proportional to 33,258 and 48,793.50 is: 71,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 48,793.50 = 48,793.50 : x
  2. Step 2: Convert to fraction form
    33,258/48,793.50 = 48,793.50/x
  3. Step 3: Cross multiply
    33,258x = 48,793.50 × 48,793.50
  4. Step 4: Simplify right side
    33,258x = 2,380,805,642.25
  5. Step 5: Solve for x
    x = 2,380,805,642.25/33,258
  6. Step 6: Final answer
    x = 71,585.95

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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.