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Finding the Third Proportional to 9,918 and 12,753

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Solution

The third proportional to 9,918 and 12,753 is: 16,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 12,753 = 12,753 : x
  2. Step 2: Convert to fraction form
    9,918/12,753 = 12,753/x
  3. Step 3: Cross multiply
    9,918x = 12,753 × 12,753
  4. Step 4: Simplify right side
    9,918x = 162,639,009
  5. Step 5: Solve for x
    x = 162,639,009/9,918
  6. Step 6: Final answer
    x = 16,398.37

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.