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Finding the Third Proportional to 8,116 and 13,246

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Solution

The third proportional to 8,116 and 13,246 is: 21,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 13,246 = 13,246 : x
  2. Step 2: Convert to fraction form
    8,116/13,246 = 13,246/x
  3. Step 3: Cross multiply
    8,116x = 13,246 × 13,246
  4. Step 4: Simplify right side
    8,116x = 175,456,516
  5. Step 5: Solve for x
    x = 175,456,516/8,116
  6. Step 6: Final answer
    x = 21,618.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.