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Finding the Third Proportional to 7,669 and 16,431

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Solution

The third proportional to 7,669 and 16,431 is: 35,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669 : 16,431 = 16,431 : x
  2. Step 2: Convert to fraction form
    7,669/16,431 = 16,431/x
  3. Step 3: Cross multiply
    7,669x = 16,431 × 16,431
  4. Step 4: Simplify right side
    7,669x = 269,977,761
  5. Step 5: Solve for x
    x = 269,977,761/7,669
  6. Step 6: Final answer
    x = 35,203.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.