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Finding the Third Proportional to 10,847.67 and 16,505.02

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Solution

The third proportional to 10,847.67 and 16,505.02 is: 25,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.67 : 16,505.02 = 16,505.02 : x
  2. Step 2: Convert to fraction form
    10,847.67/16,505.02 = 16,505.02/x
  3. Step 3: Cross multiply
    10,847.67x = 16,505.02 × 16,505.02
  4. Step 4: Simplify right side
    10,847.67x = 272,415,540.78
  5. Step 5: Solve for x
    x = 272,415,540.78/10,847.67
  6. Step 6: Final answer
    x = 25,112.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.