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Finding the Third Proportional to 29,489.88 and 64,163.75

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Solution

The third proportional to 29,489.88 and 64,163.75 is: 139,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489.88 : 64,163.75 = 64,163.75 : x
  2. Step 2: Convert to fraction form
    29,489.88/64,163.75 = 64,163.75/x
  3. Step 3: Cross multiply
    29,489.88x = 64,163.75 × 64,163.75
  4. Step 4: Simplify right side
    29,489.88x = 4,116,986,814.06
  5. Step 5: Solve for x
    x = 4,116,986,814.06/29,489.88
  6. Step 6: Final answer
    x = 139,606.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.