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Finding the Third Proportional to 8,332 and 16,427

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Solution

The third proportional to 8,332 and 16,427 is: 32,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332 : 16,427 = 16,427 : x
  2. Step 2: Convert to fraction form
    8,332/16,427 = 16,427/x
  3. Step 3: Cross multiply
    8,332x = 16,427 × 16,427
  4. Step 4: Simplify right side
    8,332x = 269,846,329
  5. Step 5: Solve for x
    x = 269,846,329/8,332
  6. Step 6: Final answer
    x = 32,386.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.