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Finding the Third Proportional to 7,971 and 17,421

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Solution

The third proportional to 7,971 and 17,421 is: 38,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 17,421 = 17,421 : x
  2. Step 2: Convert to fraction form
    7,971/17,421 = 17,421/x
  3. Step 3: Cross multiply
    7,971x = 17,421 × 17,421
  4. Step 4: Simplify right side
    7,971x = 303,491,241
  5. Step 5: Solve for x
    x = 303,491,241/7,971
  6. Step 6: Final answer
    x = 38,074.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.