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Finding the Third Proportional to 30,326 and 63,793

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Solution

The third proportional to 30,326 and 63,793 is: 134,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,326 : 63,793 = 63,793 : x
  2. Step 2: Convert to fraction form
    30,326/63,793 = 63,793/x
  3. Step 3: Cross multiply
    30,326x = 63,793 × 63,793
  4. Step 4: Simplify right side
    30,326x = 4,069,546,849
  5. Step 5: Solve for x
    x = 4,069,546,849/30,326
  6. Step 6: Final answer
    x = 134,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.