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Finding the Third Proportional to 10,808.25 and 15,861.38

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Solution

The third proportional to 10,808.25 and 15,861.38 is: 23,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.25 : 15,861.38 = 15,861.38 : x
  2. Step 2: Convert to fraction form
    10,808.25/15,861.38 = 15,861.38/x
  3. Step 3: Cross multiply
    10,808.25x = 15,861.38 × 15,861.38
  4. Step 4: Simplify right side
    10,808.25x = 251,583,216.89
  5. Step 5: Solve for x
    x = 251,583,216.89/10,808.25
  6. Step 6: Final answer
    x = 23,276.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.