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Finding the Third Proportional to 8,284 and 16,148

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Solution

The third proportional to 8,284 and 16,148 is: 31,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 16,148 = 16,148 : x
  2. Step 2: Convert to fraction form
    8,284/16,148 = 16,148/x
  3. Step 3: Cross multiply
    8,284x = 16,148 × 16,148
  4. Step 4: Simplify right side
    8,284x = 260,757,904
  5. Step 5: Solve for x
    x = 260,757,904/8,284
  6. Step 6: Final answer
    x = 31,477.29

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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.