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Finding the Third Proportional to 12,762 and 20,945.25

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Solution

The third proportional to 12,762 and 20,945.25 is: 34,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762 : 20,945.25 = 20,945.25 : x
  2. Step 2: Convert to fraction form
    12,762/20,945.25 = 20,945.25/x
  3. Step 3: Cross multiply
    12,762x = 20,945.25 × 20,945.25
  4. Step 4: Simplify right side
    12,762x = 438,703,497.56
  5. Step 5: Solve for x
    x = 438,703,497.56/12,762
  6. Step 6: Final answer
    x = 34,375.76

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.