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Finding the Third Proportional to 10,069 and 18,699

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Solution

The third proportional to 10,069 and 18,699 is: 34,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 18,699 = 18,699 : x
  2. Step 2: Convert to fraction form
    10,069/18,699 = 18,699/x
  3. Step 3: Cross multiply
    10,069x = 18,699 × 18,699
  4. Step 4: Simplify right side
    10,069x = 349,652,601
  5. Step 5: Solve for x
    x = 349,652,601/10,069
  6. Step 6: Final answer
    x = 34,725.65

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.