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Finding the Third Proportional to 21,092 and 46,850

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Solution

The third proportional to 21,092 and 46,850 is: 104,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092 : 46,850 = 46,850 : x
  2. Step 2: Convert to fraction form
    21,092/46,850 = 46,850/x
  3. Step 3: Cross multiply
    21,092x = 46,850 × 46,850
  4. Step 4: Simplify right side
    21,092x = 2,194,922,500
  5. Step 5: Solve for x
    x = 2,194,922,500/21,092
  6. Step 6: Final answer
    x = 104,064.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.