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Finding the Third Proportional to 17,960 and 25,706

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Solution

The third proportional to 17,960 and 25,706 is: 36,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960 : 25,706 = 25,706 : x
  2. Step 2: Convert to fraction form
    17,960/25,706 = 25,706/x
  3. Step 3: Cross multiply
    17,960x = 25,706 × 25,706
  4. Step 4: Simplify right side
    17,960x = 660,798,436
  5. Step 5: Solve for x
    x = 660,798,436/17,960
  6. Step 6: Final answer
    x = 36,792.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.