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Finding the Third Proportional to 11,464 and 18,380

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Solution

The third proportional to 11,464 and 18,380 is: 29,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 18,380 = 18,380 : x
  2. Step 2: Convert to fraction form
    11,464/18,380 = 18,380/x
  3. Step 3: Cross multiply
    11,464x = 18,380 × 18,380
  4. Step 4: Simplify right side
    11,464x = 337,824,400
  5. Step 5: Solve for x
    x = 337,824,400/11,464
  6. Step 6: Final answer
    x = 29,468.28

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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.