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Finding the Third Proportional to 8,658.75 and 13,944.75

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Solution

The third proportional to 8,658.75 and 13,944.75 is: 22,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.75 : 13,944.75 = 13,944.75 : x
  2. Step 2: Convert to fraction form
    8,658.75/13,944.75 = 13,944.75/x
  3. Step 3: Cross multiply
    8,658.75x = 13,944.75 × 13,944.75
  4. Step 4: Simplify right side
    8,658.75x = 194,456,052.56
  5. Step 5: Solve for x
    x = 194,456,052.56/8,658.75
  6. Step 6: Final answer
    x = 22,457.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.