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Finding the Third Proportional to 14,907 and 31,593

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Solution

The third proportional to 14,907 and 31,593 is: 66,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907 : 31,593 = 31,593 : x
  2. Step 2: Convert to fraction form
    14,907/31,593 = 31,593/x
  3. Step 3: Cross multiply
    14,907x = 31,593 × 31,593
  4. Step 4: Simplify right side
    14,907x = 998,117,649
  5. Step 5: Solve for x
    x = 998,117,649/14,907
  6. Step 6: Final answer
    x = 66,956.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.