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Finding the Third Proportional to 13,589.02 and 29,936.46

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Solution

The third proportional to 13,589.02 and 29,936.46 is: 65,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.02 : 29,936.46 = 29,936.46 : x
  2. Step 2: Convert to fraction form
    13,589.02/29,936.46 = 29,936.46/x
  3. Step 3: Cross multiply
    13,589.02x = 29,936.46 × 29,936.46
  4. Step 4: Simplify right side
    13,589.02x = 896,191,693.46
  5. Step 5: Solve for x
    x = 896,191,693.46/13,589.02
  6. Step 6: Final answer
    x = 65,949.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.