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Finding the Third Proportional to 17,725 and 38,671

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Solution

The third proportional to 17,725 and 38,671 is: 84,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725 : 38,671 = 38,671 : x
  2. Step 2: Convert to fraction form
    17,725/38,671 = 38,671/x
  3. Step 3: Cross multiply
    17,725x = 38,671 × 38,671
  4. Step 4: Simplify right side
    17,725x = 1,495,446,241
  5. Step 5: Solve for x
    x = 1,495,446,241/17,725
  6. Step 6: Final answer
    x = 84,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.