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Finding the Third Proportional to 19,861 and 27,361

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Solution

The third proportional to 19,861 and 27,361 is: 37,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861 : 27,361 = 27,361 : x
  2. Step 2: Convert to fraction form
    19,861/27,361 = 27,361/x
  3. Step 3: Cross multiply
    19,861x = 27,361 × 27,361
  4. Step 4: Simplify right side
    19,861x = 748,624,321
  5. Step 5: Solve for x
    x = 748,624,321/19,861
  6. Step 6: Final answer
    x = 37,693.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.