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Finding the Third Proportional to 12,069 and 22,636.13

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Solution

The third proportional to 12,069 and 22,636.13 is: 42,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069 : 22,636.13 = 22,636.13 : x
  2. Step 2: Convert to fraction form
    12,069/22,636.13 = 22,636.13/x
  3. Step 3: Cross multiply
    12,069x = 22,636.13 × 22,636.13
  4. Step 4: Simplify right side
    12,069x = 512,394,155.02
  5. Step 5: Solve for x
    x = 512,394,155.02/12,069
  6. Step 6: Final answer
    x = 42,455.39

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.