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Finding the Third Proportional to 23,703 and 51,870

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Solution

The third proportional to 23,703 and 51,870 is: 113,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703 : 51,870 = 51,870 : x
  2. Step 2: Convert to fraction form
    23,703/51,870 = 51,870/x
  3. Step 3: Cross multiply
    23,703x = 51,870 × 51,870
  4. Step 4: Simplify right side
    23,703x = 2,690,496,900
  5. Step 5: Solve for x
    x = 2,690,496,900/23,703
  6. Step 6: Final answer
    x = 113,508.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.