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Finding the Third Proportional to 5,069 and 10,909

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Solution

The third proportional to 5,069 and 10,909 is: 23,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069 : 10,909 = 10,909 : x
  2. Step 2: Convert to fraction form
    5,069/10,909 = 10,909/x
  3. Step 3: Cross multiply
    5,069x = 10,909 × 10,909
  4. Step 4: Simplify right side
    5,069x = 119,006,281
  5. Step 5: Solve for x
    x = 119,006,281/5,069
  6. Step 6: Final answer
    x = 23,477.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.