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Finding the Third Proportional to 32,527.75 and 50,268.75

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Solution

The third proportional to 32,527.75 and 50,268.75 is: 77,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.75 : 50,268.75 = 50,268.75 : x
  2. Step 2: Convert to fraction form
    32,527.75/50,268.75 = 50,268.75/x
  3. Step 3: Cross multiply
    32,527.75x = 50,268.75 × 50,268.75
  4. Step 4: Simplify right side
    32,527.75x = 2,526,947,226.56
  5. Step 5: Solve for x
    x = 2,526,947,226.56/32,527.75
  6. Step 6: Final answer
    x = 77,685.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.