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Finding the Third Proportional to 21,789 and 29,394

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Solution

The third proportional to 21,789 and 29,394 is: 39,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789 : 29,394 = 29,394 : x
  2. Step 2: Convert to fraction form
    21,789/29,394 = 29,394/x
  3. Step 3: Cross multiply
    21,789x = 29,394 × 29,394
  4. Step 4: Simplify right side
    21,789x = 864,007,236
  5. Step 5: Solve for x
    x = 864,007,236/21,789
  6. Step 6: Final answer
    x = 39,653.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.