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Finding the Third Proportional to 19,676 and 31,448

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Solution

The third proportional to 19,676 and 31,448 is: 50,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 31,448 = 31,448 : x
  2. Step 2: Convert to fraction form
    19,676/31,448 = 31,448/x
  3. Step 3: Cross multiply
    19,676x = 31,448 × 31,448
  4. Step 4: Simplify right side
    19,676x = 988,976,704
  5. Step 5: Solve for x
    x = 988,976,704/19,676
  6. Step 6: Final answer
    x = 50,263.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.