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Finding the Third Proportional to 31,858 and 62,930

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Solution

The third proportional to 31,858 and 62,930 is: 124,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 62,930 = 62,930 : x
  2. Step 2: Convert to fraction form
    31,858/62,930 = 62,930/x
  3. Step 3: Cross multiply
    31,858x = 62,930 × 62,930
  4. Step 4: Simplify right side
    31,858x = 3,960,184,900
  5. Step 5: Solve for x
    x = 3,960,184,900/31,858
  6. Step 6: Final answer
    x = 124,307.39

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.