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Finding the Third Proportional to 12,576 and 18,810

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Solution

The third proportional to 12,576 and 18,810 is: 28,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 18,810 = 18,810 : x
  2. Step 2: Convert to fraction form
    12,576/18,810 = 18,810/x
  3. Step 3: Cross multiply
    12,576x = 18,810 × 18,810
  4. Step 4: Simplify right side
    12,576x = 353,816,100
  5. Step 5: Solve for x
    x = 353,816,100/12,576
  6. Step 6: Final answer
    x = 28,134.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.