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Finding the Third Proportional to 16,184 and 34,295

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Solution

The third proportional to 16,184 and 34,295 is: 72,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184 : 34,295 = 34,295 : x
  2. Step 2: Convert to fraction form
    16,184/34,295 = 34,295/x
  3. Step 3: Cross multiply
    16,184x = 34,295 × 34,295
  4. Step 4: Simplify right side
    16,184x = 1,176,147,025
  5. Step 5: Solve for x
    x = 1,176,147,025/16,184
  6. Step 6: Final answer
    x = 72,673.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.