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Finding the Third Proportional to 14,202 and 30,584.25

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Solution

The third proportional to 14,202 and 30,584.25 is: 65,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202 : 30,584.25 = 30,584.25 : x
  2. Step 2: Convert to fraction form
    14,202/30,584.25 = 30,584.25/x
  3. Step 3: Cross multiply
    14,202x = 30,584.25 × 30,584.25
  4. Step 4: Simplify right side
    14,202x = 935,396,348.06
  5. Step 5: Solve for x
    x = 935,396,348.06/14,202
  6. Step 6: Final answer
    x = 65,863.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.