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Finding the Third Proportional to 14,063 and 30,913

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Solution

The third proportional to 14,063 and 30,913 is: 67,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063 : 30,913 = 30,913 : x
  2. Step 2: Convert to fraction form
    14,063/30,913 = 30,913/x
  3. Step 3: Cross multiply
    14,063x = 30,913 × 30,913
  4. Step 4: Simplify right side
    14,063x = 955,613,569
  5. Step 5: Solve for x
    x = 955,613,569/14,063
  6. Step 6: Final answer
    x = 67,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.