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Finding the Third Proportional to 20,394 and 43,004

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Solution

The third proportional to 20,394 and 43,004 is: 90,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 43,004 = 43,004 : x
  2. Step 2: Convert to fraction form
    20,394/43,004 = 43,004/x
  3. Step 3: Cross multiply
    20,394x = 43,004 × 43,004
  4. Step 4: Simplify right side
    20,394x = 1,849,344,016
  5. Step 5: Solve for x
    x = 1,849,344,016/20,394
  6. Step 6: Final answer
    x = 90,680.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.