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Finding the Third Proportional to 18,114 and 38,407

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Solution

The third proportional to 18,114 and 38,407 is: 81,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114 : 38,407 = 38,407 : x
  2. Step 2: Convert to fraction form
    18,114/38,407 = 38,407/x
  3. Step 3: Cross multiply
    18,114x = 38,407 × 38,407
  4. Step 4: Simplify right side
    18,114x = 1,475,097,649
  5. Step 5: Solve for x
    x = 1,475,097,649/18,114
  6. Step 6: Final answer
    x = 81,434.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.