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Finding the Third Proportional to 11,464 and 18,940

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Solution

The third proportional to 11,464 and 18,940 is: 31,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 18,940 = 18,940 : x
  2. Step 2: Convert to fraction form
    11,464/18,940 = 18,940/x
  3. Step 3: Cross multiply
    11,464x = 18,940 × 18,940
  4. Step 4: Simplify right side
    11,464x = 358,723,600
  5. Step 5: Solve for x
    x = 358,723,600/11,464
  6. Step 6: Final answer
    x = 31,291.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.