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Finding the Third Proportional to 12,576 and 25,344

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Solution

The third proportional to 12,576 and 25,344 is: 51,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 25,344 = 25,344 : x
  2. Step 2: Convert to fraction form
    12,576/25,344 = 25,344/x
  3. Step 3: Cross multiply
    12,576x = 25,344 × 25,344
  4. Step 4: Simplify right side
    12,576x = 642,318,336
  5. Step 5: Solve for x
    x = 642,318,336/12,576
  6. Step 6: Final answer
    x = 51,074.93

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.