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Finding the Third Proportional to 20,316.50 and 32,443

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Solution

The third proportional to 20,316.50 and 32,443 is: 51,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.50 : 32,443 = 32,443 : x
  2. Step 2: Convert to fraction form
    20,316.50/32,443 = 32,443/x
  3. Step 3: Cross multiply
    20,316.50x = 32,443 × 32,443
  4. Step 4: Simplify right side
    20,316.50x = 1,052,548,249
  5. Step 5: Solve for x
    x = 1,052,548,249/20,316.50
  6. Step 6: Final answer
    x = 51,807.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.