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Finding the Third Proportional to 18,194 and 28,931

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Solution

The third proportional to 18,194 and 28,931 is: 46,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194 : 28,931 = 28,931 : x
  2. Step 2: Convert to fraction form
    18,194/28,931 = 28,931/x
  3. Step 3: Cross multiply
    18,194x = 28,931 × 28,931
  4. Step 4: Simplify right side
    18,194x = 837,002,761
  5. Step 5: Solve for x
    x = 837,002,761/18,194
  6. Step 6: Final answer
    x = 46,004.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.