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Finding the Third Proportional to 20,627 and 42,347

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Solution

The third proportional to 20,627 and 42,347 is: 86,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627 : 42,347 = 42,347 : x
  2. Step 2: Convert to fraction form
    20,627/42,347 = 42,347/x
  3. Step 3: Cross multiply
    20,627x = 42,347 × 42,347
  4. Step 4: Simplify right side
    20,627x = 1,793,268,409
  5. Step 5: Solve for x
    x = 1,793,268,409/20,627
  6. Step 6: Final answer
    x = 86,937.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.