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Finding the Third Proportional to 47,945.25 and 72,582.75

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Solution

The third proportional to 47,945.25 and 72,582.75 is: 109,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,945.25 : 72,582.75 = 72,582.75 : x
  2. Step 2: Convert to fraction form
    47,945.25/72,582.75 = 72,582.75/x
  3. Step 3: Cross multiply
    47,945.25x = 72,582.75 × 72,582.75
  4. Step 4: Simplify right side
    47,945.25x = 5,268,255,597.56
  5. Step 5: Solve for x
    x = 5,268,255,597.56/47,945.25
  6. Step 6: Final answer
    x = 109,880.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.