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Finding the Third Proportional to 13,057.88 and 19,892.81

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Solution

The third proportional to 13,057.88 and 19,892.81 is: 30,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.88 : 19,892.81 = 19,892.81 : x
  2. Step 2: Convert to fraction form
    13,057.88/19,892.81 = 19,892.81/x
  3. Step 3: Cross multiply
    13,057.88x = 19,892.81 × 19,892.81
  4. Step 4: Simplify right side
    13,057.88x = 395,723,989.16
  5. Step 5: Solve for x
    x = 395,723,989.16/13,057.88
  6. Step 6: Final answer
    x = 30,305.39

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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.