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Finding the Third Proportional to 5,953 and 14,077

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Solution

The third proportional to 5,953 and 14,077 is: 33,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953 : 14,077 = 14,077 : x
  2. Step 2: Convert to fraction form
    5,953/14,077 = 14,077/x
  3. Step 3: Cross multiply
    5,953x = 14,077 × 14,077
  4. Step 4: Simplify right side
    5,953x = 198,161,929
  5. Step 5: Solve for x
    x = 198,161,929/5,953
  6. Step 6: Final answer
    x = 33,287.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.