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Finding the Third Proportional to 20,292 and 29,736

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Solution

The third proportional to 20,292 and 29,736 is: 43,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 29,736 = 29,736 : x
  2. Step 2: Convert to fraction form
    20,292/29,736 = 29,736/x
  3. Step 3: Cross multiply
    20,292x = 29,736 × 29,736
  4. Step 4: Simplify right side
    20,292x = 884,229,696
  5. Step 5: Solve for x
    x = 884,229,696/20,292
  6. Step 6: Final answer
    x = 43,575.29

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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.