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Finding the Third Proportional to 7,971 and 16,389

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Solution

The third proportional to 7,971 and 16,389 is: 33,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 16,389 = 16,389 : x
  2. Step 2: Convert to fraction form
    7,971/16,389 = 16,389/x
  3. Step 3: Cross multiply
    7,971x = 16,389 × 16,389
  4. Step 4: Simplify right side
    7,971x = 268,599,321
  5. Step 5: Solve for x
    x = 268,599,321/7,971
  6. Step 6: Final answer
    x = 33,697.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.