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Finding the Third Proportional to 8,777 and 12,747

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Solution

The third proportional to 8,777 and 12,747 is: 18,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777 : 12,747 = 12,747 : x
  2. Step 2: Convert to fraction form
    8,777/12,747 = 12,747/x
  3. Step 3: Cross multiply
    8,777x = 12,747 × 12,747
  4. Step 4: Simplify right side
    8,777x = 162,486,009
  5. Step 5: Solve for x
    x = 162,486,009/8,777
  6. Step 6: Final answer
    x = 18,512.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.