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Finding the Third Proportional to 20,960.25 and 32,716.50

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Solution

The third proportional to 20,960.25 and 32,716.50 is: 51,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.25 : 32,716.50 = 32,716.50 : x
  2. Step 2: Convert to fraction form
    20,960.25/32,716.50 = 32,716.50/x
  3. Step 3: Cross multiply
    20,960.25x = 32,716.50 × 32,716.50
  4. Step 4: Simplify right side
    20,960.25x = 1,070,369,372.25
  5. Step 5: Solve for x
    x = 1,070,369,372.25/20,960.25
  6. Step 6: Final answer
    x = 51,066.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.