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Finding the Third Proportional to 17,981 and 27,437

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Solution

The third proportional to 17,981 and 27,437 is: 41,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981 : 27,437 = 27,437 : x
  2. Step 2: Convert to fraction form
    17,981/27,437 = 27,437/x
  3. Step 3: Cross multiply
    17,981x = 27,437 × 27,437
  4. Step 4: Simplify right side
    17,981x = 752,788,969
  5. Step 5: Solve for x
    x = 752,788,969/17,981
  6. Step 6: Final answer
    x = 41,865.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.