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Finding the Third Proportional to 20,904 and 31,098

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Solution

The third proportional to 20,904 and 31,098 is: 46,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904 : 31,098 = 31,098 : x
  2. Step 2: Convert to fraction form
    20,904/31,098 = 31,098/x
  3. Step 3: Cross multiply
    20,904x = 31,098 × 31,098
  4. Step 4: Simplify right side
    20,904x = 967,085,604
  5. Step 5: Solve for x
    x = 967,085,604/20,904
  6. Step 6: Final answer
    x = 46,263.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.