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Finding the Third Proportional to 20,842 and 46,292

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Solution

The third proportional to 20,842 and 46,292 is: 102,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842 : 46,292 = 46,292 : x
  2. Step 2: Convert to fraction form
    20,842/46,292 = 46,292/x
  3. Step 3: Cross multiply
    20,842x = 46,292 × 46,292
  4. Step 4: Simplify right side
    20,842x = 2,142,949,264
  5. Step 5: Solve for x
    x = 2,142,949,264/20,842
  6. Step 6: Final answer
    x = 102,818.79

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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.