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Finding the Third Proportional to 8,467 and 19,985

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Solution

The third proportional to 8,467 and 19,985 is: 47,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467 : 19,985 = 19,985 : x
  2. Step 2: Convert to fraction form
    8,467/19,985 = 19,985/x
  3. Step 3: Cross multiply
    8,467x = 19,985 × 19,985
  4. Step 4: Simplify right side
    8,467x = 399,400,225
  5. Step 5: Solve for x
    x = 399,400,225/8,467
  6. Step 6: Final answer
    x = 47,171.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.