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Finding the Third Proportional to 17,938 and 38,986

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Solution

The third proportional to 17,938 and 38,986 is: 84,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938 : 38,986 = 38,986 : x
  2. Step 2: Convert to fraction form
    17,938/38,986 = 38,986/x
  3. Step 3: Cross multiply
    17,938x = 38,986 × 38,986
  4. Step 4: Simplify right side
    17,938x = 1,519,908,196
  5. Step 5: Solve for x
    x = 1,519,908,196/17,938
  6. Step 6: Final answer
    x = 84,731.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.