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Finding the Third Proportional to 17,774 and 38,402

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Solution

The third proportional to 17,774 and 38,402 is: 82,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774 : 38,402 = 38,402 : x
  2. Step 2: Convert to fraction form
    17,774/38,402 = 38,402/x
  3. Step 3: Cross multiply
    17,774x = 38,402 × 38,402
  4. Step 4: Simplify right side
    17,774x = 1,474,713,604
  5. Step 5: Solve for x
    x = 1,474,713,604/17,774
  6. Step 6: Final answer
    x = 82,970.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.