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Finding the Third Proportional to 19,768 and 31,474

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Solution

The third proportional to 19,768 and 31,474 is: 50,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 31,474 = 31,474 : x
  2. Step 2: Convert to fraction form
    19,768/31,474 = 31,474/x
  3. Step 3: Cross multiply
    19,768x = 31,474 × 31,474
  4. Step 4: Simplify right side
    19,768x = 990,612,676
  5. Step 5: Solve for x
    x = 990,612,676/19,768
  6. Step 6: Final answer
    x = 50,111.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.