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Finding the Third Proportional to 13,715.16 and 18,628.73

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Solution

The third proportional to 13,715.16 and 18,628.73 is: 25,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.16 : 18,628.73 = 18,628.73 : x
  2. Step 2: Convert to fraction form
    13,715.16/18,628.73 = 18,628.73/x
  3. Step 3: Cross multiply
    13,715.16x = 18,628.73 × 18,628.73
  4. Step 4: Simplify right side
    13,715.16x = 347,029,744.41
  5. Step 5: Solve for x
    x = 347,029,744.41/13,715.16
  6. Step 6: Final answer
    x = 25,302.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.