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Finding the Third Proportional to 8,157 and 12,723

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Solution

The third proportional to 8,157 and 12,723 is: 19,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 12,723 = 12,723 : x
  2. Step 2: Convert to fraction form
    8,157/12,723 = 12,723/x
  3. Step 3: Cross multiply
    8,157x = 12,723 × 12,723
  4. Step 4: Simplify right side
    8,157x = 161,874,729
  5. Step 5: Solve for x
    x = 161,874,729/8,157
  6. Step 6: Final answer
    x = 19,844.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.