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Finding the Third Proportional to 18,202 and 27,431

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Solution

The third proportional to 18,202 and 27,431 is: 41,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202 : 27,431 = 27,431 : x
  2. Step 2: Convert to fraction form
    18,202/27,431 = 27,431/x
  3. Step 3: Cross multiply
    18,202x = 27,431 × 27,431
  4. Step 4: Simplify right side
    18,202x = 752,459,761
  5. Step 5: Solve for x
    x = 752,459,761/18,202
  6. Step 6: Final answer
    x = 41,339.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.