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Finding the Third Proportional to 8,077 and 14,209

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Solution

The third proportional to 8,077 and 14,209 is: 24,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077 : 14,209 = 14,209 : x
  2. Step 2: Convert to fraction form
    8,077/14,209 = 14,209/x
  3. Step 3: Cross multiply
    8,077x = 14,209 × 14,209
  4. Step 4: Simplify right side
    8,077x = 201,895,681
  5. Step 5: Solve for x
    x = 201,895,681/8,077
  6. Step 6: Final answer
    x = 24,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.