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Finding the Third Proportional to 20,784 and 42,794

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Solution

The third proportional to 20,784 and 42,794 is: 88,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 42,794 = 42,794 : x
  2. Step 2: Convert to fraction form
    20,784/42,794 = 42,794/x
  3. Step 3: Cross multiply
    20,784x = 42,794 × 42,794
  4. Step 4: Simplify right side
    20,784x = 1,831,326,436
  5. Step 5: Solve for x
    x = 1,831,326,436/20,784
  6. Step 6: Final answer
    x = 88,112.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.