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Finding the Third Proportional to 32,449.50 and 41,464.50

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Solution

The third proportional to 32,449.50 and 41,464.50 is: 52,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.50 : 41,464.50 = 41,464.50 : x
  2. Step 2: Convert to fraction form
    32,449.50/41,464.50 = 41,464.50/x
  3. Step 3: Cross multiply
    32,449.50x = 41,464.50 × 41,464.50
  4. Step 4: Simplify right side
    32,449.50x = 1,719,304,760.25
  5. Step 5: Solve for x
    x = 1,719,304,760.25/32,449.50
  6. Step 6: Final answer
    x = 52,984.01

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.