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Finding the Third Proportional to 14,469.75 and 31,558.50

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Solution

The third proportional to 14,469.75 and 31,558.50 is: 68,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.75 : 31,558.50 = 31,558.50 : x
  2. Step 2: Convert to fraction form
    14,469.75/31,558.50 = 31,558.50/x
  3. Step 3: Cross multiply
    14,469.75x = 31,558.50 × 31,558.50
  4. Step 4: Simplify right side
    14,469.75x = 995,938,922.25
  5. Step 5: Solve for x
    x = 995,938,922.25/14,469.75
  6. Step 6: Final answer
    x = 68,829.03

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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.