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Finding the Third Proportional to 17,706 and 25,875

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Solution

The third proportional to 17,706 and 25,875 is: 37,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706 : 25,875 = 25,875 : x
  2. Step 2: Convert to fraction form
    17,706/25,875 = 25,875/x
  3. Step 3: Cross multiply
    17,706x = 25,875 × 25,875
  4. Step 4: Simplify right side
    17,706x = 669,515,625
  5. Step 5: Solve for x
    x = 669,515,625/17,706
  6. Step 6: Final answer
    x = 37,812.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.