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Finding the Third Proportional to 12,069 and 25,228.13

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Solution

The third proportional to 12,069 and 25,228.13 is: 52,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069 : 25,228.13 = 25,228.13 : x
  2. Step 2: Convert to fraction form
    12,069/25,228.13 = 25,228.13/x
  3. Step 3: Cross multiply
    12,069x = 25,228.13 × 25,228.13
  4. Step 4: Simplify right side
    12,069x = 636,458,291.02
  5. Step 5: Solve for x
    x = 636,458,291.02/12,069
  6. Step 6: Final answer
    x = 52,734.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.