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Finding the Third Proportional to 12,576 and 27,132

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Solution

The third proportional to 12,576 and 27,132 is: 58,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 27,132 = 27,132 : x
  2. Step 2: Convert to fraction form
    12,576/27,132 = 27,132/x
  3. Step 3: Cross multiply
    12,576x = 27,132 × 27,132
  4. Step 4: Simplify right side
    12,576x = 736,145,424
  5. Step 5: Solve for x
    x = 736,145,424/12,576
  6. Step 6: Final answer
    x = 58,535.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.