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Finding the Third Proportional to 8,025.94 and 10,649.53

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Solution

The third proportional to 8,025.94 and 10,649.53 is: 14,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.94 : 10,649.53 = 10,649.53 : x
  2. Step 2: Convert to fraction form
    8,025.94/10,649.53 = 10,649.53/x
  3. Step 3: Cross multiply
    8,025.94x = 10,649.53 × 10,649.53
  4. Step 4: Simplify right side
    8,025.94x = 113,412,515.84
  5. Step 5: Solve for x
    x = 113,412,515.84/8,025.94
  6. Step 6: Final answer
    x = 14,130.75

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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.