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Finding the Third Proportional to 8,289 and 16,158

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Solution

The third proportional to 8,289 and 16,158 is: 31,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 16,158 = 16,158 : x
  2. Step 2: Convert to fraction form
    8,289/16,158 = 16,158/x
  3. Step 3: Cross multiply
    8,289x = 16,158 × 16,158
  4. Step 4: Simplify right side
    8,289x = 261,080,964
  5. Step 5: Solve for x
    x = 261,080,964/8,289
  6. Step 6: Final answer
    x = 31,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.