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Finding the Third Proportional to 18,534 and 29,394

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Solution

The third proportional to 18,534 and 29,394 is: 46,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534 : 29,394 = 29,394 : x
  2. Step 2: Convert to fraction form
    18,534/29,394 = 29,394/x
  3. Step 3: Cross multiply
    18,534x = 29,394 × 29,394
  4. Step 4: Simplify right side
    18,534x = 864,007,236
  5. Step 5: Solve for x
    x = 864,007,236/18,534
  6. Step 6: Final answer
    x = 46,617.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.