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Finding the Third Proportional to 21,874 and 46,860

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Solution

The third proportional to 21,874 and 46,860 is: 100,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 46,860 = 46,860 : x
  2. Step 2: Convert to fraction form
    21,874/46,860 = 46,860/x
  3. Step 3: Cross multiply
    21,874x = 46,860 × 46,860
  4. Step 4: Simplify right side
    21,874x = 2,195,859,600
  5. Step 5: Solve for x
    x = 2,195,859,600/21,874
  6. Step 6: Final answer
    x = 100,386.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.