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Finding the Third Proportional to 8,048 and 17,158

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Solution

The third proportional to 8,048 and 17,158 is: 36,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 17,158 = 17,158 : x
  2. Step 2: Convert to fraction form
    8,048/17,158 = 17,158/x
  3. Step 3: Cross multiply
    8,048x = 17,158 × 17,158
  4. Step 4: Simplify right side
    8,048x = 294,396,964
  5. Step 5: Solve for x
    x = 294,396,964/8,048
  6. Step 6: Final answer
    x = 36,580.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.