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Finding the Third Proportional to 6,477 and 13,875

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Solution

The third proportional to 6,477 and 13,875 is: 29,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 13,875 = 13,875 : x
  2. Step 2: Convert to fraction form
    6,477/13,875 = 13,875/x
  3. Step 3: Cross multiply
    6,477x = 13,875 × 13,875
  4. Step 4: Simplify right side
    6,477x = 192,515,625
  5. Step 5: Solve for x
    x = 192,515,625/6,477
  6. Step 6: Final answer
    x = 29,722.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.