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Finding the Third Proportional to 9,476 and 12,366

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Solution

The third proportional to 9,476 and 12,366 is: 16,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 12,366 = 12,366 : x
  2. Step 2: Convert to fraction form
    9,476/12,366 = 12,366/x
  3. Step 3: Cross multiply
    9,476x = 12,366 × 12,366
  4. Step 4: Simplify right side
    9,476x = 152,917,956
  5. Step 5: Solve for x
    x = 152,917,956/9,476
  6. Step 6: Final answer
    x = 16,137.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.