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Finding the Third Proportional to 32,464.50 and 43,350

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Solution

The third proportional to 32,464.50 and 43,350 is: 57,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.50 : 43,350 = 43,350 : x
  2. Step 2: Convert to fraction form
    32,464.50/43,350 = 43,350/x
  3. Step 3: Cross multiply
    32,464.50x = 43,350 × 43,350
  4. Step 4: Simplify right side
    32,464.50x = 1,879,222,500
  5. Step 5: Solve for x
    x = 1,879,222,500/32,464.50
  6. Step 6: Final answer
    x = 57,885.46

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.