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Finding the Third Proportional to 32,238.56 and 49,311.84

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Solution

The third proportional to 32,238.56 and 49,311.84 is: 75,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.56 : 49,311.84 = 49,311.84 : x
  2. Step 2: Convert to fraction form
    32,238.56/49,311.84 = 49,311.84/x
  3. Step 3: Cross multiply
    32,238.56x = 49,311.84 × 49,311.84
  4. Step 4: Simplify right side
    32,238.56x = 2,431,657,934.02
  5. Step 5: Solve for x
    x = 2,431,657,934.02/32,238.56
  6. Step 6: Final answer
    x = 75,427.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.