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Finding the Third Proportional to 31,108 and 46,820

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Solution

The third proportional to 31,108 and 46,820 is: 70,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108 : 46,820 = 46,820 : x
  2. Step 2: Convert to fraction form
    31,108/46,820 = 46,820/x
  3. Step 3: Cross multiply
    31,108x = 46,820 × 46,820
  4. Step 4: Simplify right side
    31,108x = 2,192,112,400
  5. Step 5: Solve for x
    x = 2,192,112,400/31,108
  6. Step 6: Final answer
    x = 70,467.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.