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Finding the Third Proportional to 19,446 and 29,736

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Solution

The third proportional to 19,446 and 29,736 is: 45,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446 : 29,736 = 29,736 : x
  2. Step 2: Convert to fraction form
    19,446/29,736 = 29,736/x
  3. Step 3: Cross multiply
    19,446x = 29,736 × 29,736
  4. Step 4: Simplify right side
    19,446x = 884,229,696
  5. Step 5: Solve for x
    x = 884,229,696/19,446
  6. Step 6: Final answer
    x = 45,471.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.