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Finding the Third Proportional to 8,252 and 12,786

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Solution

The third proportional to 8,252 and 12,786 is: 19,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 12,786 = 12,786 : x
  2. Step 2: Convert to fraction form
    8,252/12,786 = 12,786/x
  3. Step 3: Cross multiply
    8,252x = 12,786 × 12,786
  4. Step 4: Simplify right side
    8,252x = 163,481,796
  5. Step 5: Solve for x
    x = 163,481,796/8,252
  6. Step 6: Final answer
    x = 19,811.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.