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Finding the Third Proportional to 32,967 and 43,807.50

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Solution

The third proportional to 32,967 and 43,807.50 is: 58,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 43,807.50 = 43,807.50 : x
  2. Step 2: Convert to fraction form
    32,967/43,807.50 = 43,807.50/x
  3. Step 3: Cross multiply
    32,967x = 43,807.50 × 43,807.50
  4. Step 4: Simplify right side
    32,967x = 1,919,097,056.25
  5. Step 5: Solve for x
    x = 1,919,097,056.25/32,967
  6. Step 6: Final answer
    x = 58,212.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.