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Finding the Third Proportional to 6,775 and 14,557

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Solution

The third proportional to 6,775 and 14,557 is: 31,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775 : 14,557 = 14,557 : x
  2. Step 2: Convert to fraction form
    6,775/14,557 = 14,557/x
  3. Step 3: Cross multiply
    6,775x = 14,557 × 14,557
  4. Step 4: Simplify right side
    6,775x = 211,906,249
  5. Step 5: Solve for x
    x = 211,906,249/6,775
  6. Step 6: Final answer
    x = 31,277.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.