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Finding the Third Proportional to 19,702 and 43,231

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Solution

The third proportional to 19,702 and 43,231 is: 94,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702 : 43,231 = 43,231 : x
  2. Step 2: Convert to fraction form
    19,702/43,231 = 43,231/x
  3. Step 3: Cross multiply
    19,702x = 43,231 × 43,231
  4. Step 4: Simplify right side
    19,702x = 1,868,919,361
  5. Step 5: Solve for x
    x = 1,868,919,361/19,702
  6. Step 6: Final answer
    x = 94,859.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.