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Finding the Third Proportional to 19,706 and 23,351

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Solution

The third proportional to 19,706 and 23,351 is: 27,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706 : 23,351 = 23,351 : x
  2. Step 2: Convert to fraction form
    19,706/23,351 = 23,351/x
  3. Step 3: Cross multiply
    19,706x = 23,351 × 23,351
  4. Step 4: Simplify right side
    19,706x = 545,269,201
  5. Step 5: Solve for x
    x = 545,269,201/19,706
  6. Step 6: Final answer
    x = 27,670.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.