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Finding the Third Proportional to 11,644 and 18,614

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Solution

The third proportional to 11,644 and 18,614 is: 29,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 18,614 = 18,614 : x
  2. Step 2: Convert to fraction form
    11,644/18,614 = 18,614/x
  3. Step 3: Cross multiply
    11,644x = 18,614 × 18,614
  4. Step 4: Simplify right side
    11,644x = 346,480,996
  5. Step 5: Solve for x
    x = 346,480,996/11,644
  6. Step 6: Final answer
    x = 29,756.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.