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Finding the Third Proportional to 31,743 and 46,631

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Solution

The third proportional to 31,743 and 46,631 is: 68,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743 : 46,631 = 46,631 : x
  2. Step 2: Convert to fraction form
    31,743/46,631 = 46,631/x
  3. Step 3: Cross multiply
    31,743x = 46,631 × 46,631
  4. Step 4: Simplify right side
    31,743x = 2,174,450,161
  5. Step 5: Solve for x
    x = 2,174,450,161/31,743
  6. Step 6: Final answer
    x = 68,501.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.