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Finding the Third Proportional to 12,576 and 17,623

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Solution

The third proportional to 12,576 and 17,623 is: 24,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 17,623 = 17,623 : x
  2. Step 2: Convert to fraction form
    12,576/17,623 = 17,623/x
  3. Step 3: Cross multiply
    12,576x = 17,623 × 17,623
  4. Step 4: Simplify right side
    12,576x = 310,570,129
  5. Step 5: Solve for x
    x = 310,570,129/12,576
  6. Step 6: Final answer
    x = 24,695.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.