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Finding the Third Proportional to 13,899.94 and 29,986.88

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Solution

The third proportional to 13,899.94 and 29,986.88 is: 64,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.94 : 29,986.88 = 29,986.88 : x
  2. Step 2: Convert to fraction form
    13,899.94/29,986.88 = 29,986.88/x
  3. Step 3: Cross multiply
    13,899.94x = 29,986.88 × 29,986.88
  4. Step 4: Simplify right side
    13,899.94x = 899,212,672.27
  5. Step 5: Solve for x
    x = 899,212,672.27/13,899.94
  6. Step 6: Final answer
    x = 64,691.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.