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Finding the Third Proportional to 31,770 and 46,731

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Solution

The third proportional to 31,770 and 46,731 is: 68,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770 : 46,731 = 46,731 : x
  2. Step 2: Convert to fraction form
    31,770/46,731 = 46,731/x
  3. Step 3: Cross multiply
    31,770x = 46,731 × 46,731
  4. Step 4: Simplify right side
    31,770x = 2,183,786,361
  5. Step 5: Solve for x
    x = 2,183,786,361/31,770
  6. Step 6: Final answer
    x = 68,737.37

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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.