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Finding the Third Proportional to 14,716 and 31,903

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Solution

The third proportional to 14,716 and 31,903 is: 69,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716 : 31,903 = 31,903 : x
  2. Step 2: Convert to fraction form
    14,716/31,903 = 31,903/x
  3. Step 3: Cross multiply
    14,716x = 31,903 × 31,903
  4. Step 4: Simplify right side
    14,716x = 1,017,801,409
  5. Step 5: Solve for x
    x = 1,017,801,409/14,716
  6. Step 6: Final answer
    x = 69,162.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.