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Finding the Third Proportional to 13,130.44 and 19,649.25

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Solution

The third proportional to 13,130.44 and 19,649.25 is: 29,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.44 : 19,649.25 = 19,649.25 : x
  2. Step 2: Convert to fraction form
    13,130.44/19,649.25 = 19,649.25/x
  3. Step 3: Cross multiply
    13,130.44x = 19,649.25 × 19,649.25
  4. Step 4: Simplify right side
    13,130.44x = 386,093,025.56
  5. Step 5: Solve for x
    x = 386,093,025.56/13,130.44
  6. Step 6: Final answer
    x = 29,404.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.