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Finding the Third Proportional to 7,834 and 16,476

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Solution

The third proportional to 7,834 and 16,476 is: 34,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 16,476 = 16,476 : x
  2. Step 2: Convert to fraction form
    7,834/16,476 = 16,476/x
  3. Step 3: Cross multiply
    7,834x = 16,476 × 16,476
  4. Step 4: Simplify right side
    7,834x = 271,458,576
  5. Step 5: Solve for x
    x = 271,458,576/7,834
  6. Step 6: Final answer
    x = 34,651.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.