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Finding the Third Proportional to 31,821.75 and 62,841

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Solution

The third proportional to 31,821.75 and 62,841 is: 124,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.75 : 62,841 = 62,841 : x
  2. Step 2: Convert to fraction form
    31,821.75/62,841 = 62,841/x
  3. Step 3: Cross multiply
    31,821.75x = 62,841 × 62,841
  4. Step 4: Simplify right side
    31,821.75x = 3,948,991,281
  5. Step 5: Solve for x
    x = 3,948,991,281/31,821.75
  6. Step 6: Final answer
    x = 124,097.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.