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Finding the Third Proportional to 8,154 and 12,309

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Solution

The third proportional to 8,154 and 12,309 is: 18,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 12,309 = 12,309 : x
  2. Step 2: Convert to fraction form
    8,154/12,309 = 12,309/x
  3. Step 3: Cross multiply
    8,154x = 12,309 × 12,309
  4. Step 4: Simplify right side
    8,154x = 151,511,481
  5. Step 5: Solve for x
    x = 151,511,481/8,154
  6. Step 6: Final answer
    x = 18,581.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.