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Finding the Third Proportional to 32,427.50 and 49,305.75

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Solution

The third proportional to 32,427.50 and 49,305.75 is: 74,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.50 : 49,305.75 = 49,305.75 : x
  2. Step 2: Convert to fraction form
    32,427.50/49,305.75 = 49,305.75/x
  3. Step 3: Cross multiply
    32,427.50x = 49,305.75 × 49,305.75
  4. Step 4: Simplify right side
    32,427.50x = 2,431,056,983.06
  5. Step 5: Solve for x
    x = 2,431,056,983.06/32,427.50
  6. Step 6: Final answer
    x = 74,968.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.