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Finding the Third Proportional to 13,581.02 and 19,965.17

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Solution

The third proportional to 13,581.02 and 19,965.17 is: 29,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.02 : 19,965.17 = 19,965.17 : x
  2. Step 2: Convert to fraction form
    13,581.02/19,965.17 = 19,965.17/x
  3. Step 3: Cross multiply
    13,581.02x = 19,965.17 × 19,965.17
  4. Step 4: Simplify right side
    13,581.02x = 398,607,943.29
  5. Step 5: Solve for x
    x = 398,607,943.29/13,581.02
  6. Step 6: Final answer
    x = 29,350.37

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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.