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Finding the Third Proportional to 22,902 and 33,736

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Solution

The third proportional to 22,902 and 33,736 is: 49,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 33,736 = 33,736 : x
  2. Step 2: Convert to fraction form
    22,902/33,736 = 33,736/x
  3. Step 3: Cross multiply
    22,902x = 33,736 × 33,736
  4. Step 4: Simplify right side
    22,902x = 1,138,117,696
  5. Step 5: Solve for x
    x = 1,138,117,696/22,902
  6. Step 6: Final answer
    x = 49,695.12

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