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Finding the Third Proportional to 20,274 and 46,986

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Solution

The third proportional to 20,274 and 46,986 is: 108,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 46,986 = 46,986 : x
  2. Step 2: Convert to fraction form
    20,274/46,986 = 46,986/x
  3. Step 3: Cross multiply
    20,274x = 46,986 × 46,986
  4. Step 4: Simplify right side
    20,274x = 2,207,684,196
  5. Step 5: Solve for x
    x = 2,207,684,196/20,274
  6. Step 6: Final answer
    x = 108,892.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.