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Finding the Third Proportional to 6,595 and 14,231

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Solution

The third proportional to 6,595 and 14,231 is: 30,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595 : 14,231 = 14,231 : x
  2. Step 2: Convert to fraction form
    6,595/14,231 = 14,231/x
  3. Step 3: Cross multiply
    6,595x = 14,231 × 14,231
  4. Step 4: Simplify right side
    6,595x = 202,521,361
  5. Step 5: Solve for x
    x = 202,521,361/6,595
  6. Step 6: Final answer
    x = 30,708.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.