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Finding the Third Proportional to 32,475.94 and 50,765.06

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Solution

The third proportional to 32,475.94 and 50,765.06 is: 79,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.94 : 50,765.06 = 50,765.06 : x
  2. Step 2: Convert to fraction form
    32,475.94/50,765.06 = 50,765.06/x
  3. Step 3: Cross multiply
    32,475.94x = 50,765.06 × 50,765.06
  4. Step 4: Simplify right side
    32,475.94x = 2,577,091,570.63
  5. Step 5: Solve for x
    x = 2,577,091,570.63/32,475.94
  6. Step 6: Final answer
    x = 79,353.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.