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Finding the Third Proportional to 12,918.38 and 14,571.56

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Solution

The third proportional to 12,918.38 and 14,571.56 is: 16,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.38 : 14,571.56 = 14,571.56 : x
  2. Step 2: Convert to fraction form
    12,918.38/14,571.56 = 14,571.56/x
  3. Step 3: Cross multiply
    12,918.38x = 14,571.56 × 14,571.56
  4. Step 4: Simplify right side
    12,918.38x = 212,330,433.69
  5. Step 5: Solve for x
    x = 212,330,433.69/12,918.38
  6. Step 6: Final answer
    x = 16,436.31

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.