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Finding the Third Proportional to 7,971 and 16,294

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Solution

The third proportional to 7,971 and 16,294 is: 33,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 16,294 = 16,294 : x
  2. Step 2: Convert to fraction form
    7,971/16,294 = 16,294/x
  3. Step 3: Cross multiply
    7,971x = 16,294 × 16,294
  4. Step 4: Simplify right side
    7,971x = 265,494,436
  5. Step 5: Solve for x
    x = 265,494,436/7,971
  6. Step 6: Final answer
    x = 33,307.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.